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357928607214 = 23429438321347
BaseRepresentation
bin1010011010101100011…
…01010001110111101110
31021012212122211011210000
411031112031101313232
521331014210412324
6432232524125130
734600542651123
oct5152615216756
91235778734700
10357928607214
111288844052a2
12594516967a6
13279a23a5c99
141347687474a
15949d14a9c9
hex5356351dee

357928607214 has 160 divisors (see below), whose sum is σ = 859245045120. Its totient is φ = 111155623488.

The previous prime is 357928607213. The next prime is 357928607233. The reversal of 357928607214 is 412706829753.

It is a happy number.

357928607214 is a `hidden beast` number, since 3 + 5 + 7 + 9 + 2 + 8 + 607 + 21 + 4 = 666.

357928607214 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3579286072142 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (357928607213) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16756489 + ... + 16777835.

It is an arithmetic number, because the mean of its divisors is an integer number (5370281532).

It is a 1-persistent number, because it is pandigital, but 2⋅357928607214 = 715857214428 is not.

Almost surely, 2357928607214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 357928607214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429622522560).

357928607214 is an abundant number, since it is smaller than the sum of its proper divisors (501316437906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

357928607214 is a wasteful number, since it uses less digits than its factorization.

357928607214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21516 (or 21507 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 357928607214 in words is "three hundred fifty-seven billion, nine hundred twenty-eight million, six hundred seven thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 43 54 58 81 83 86 87 129 162 166 174 249 258 261 387 498 522 747 774 783 1161 1247 1494 1566 2241 2322 2349 2407 2494 3483 3569 3741 4482 4698 4814 6723 6966 7138 7221 7482 10707 11223 13446 14442 21347 21414 21663 22446 32121 33669 42694 43326 64041 64242 64989 67338 96363 101007 103501 128082 129978 192123 192726 194967 202014 207002 289089 310503 384246 389934 576369 578178 619063 621006 917921 931509 1152738 1238126 1729107 1771801 1835842 1857189 1863018 2753763 2794527 3458214 3543602 3714378 5315403 5507526 5571567 5589054 8261289 8383581 10630806 11143134 15946209 16522578 16714701 16767162 24783867 26619709 31892418 33429402 47838627 49567734 50144103 51382229 53239418 74351601 76187443 79859127 95677254 100288206 102764458 143515881 148703202 152374886 154146687 159718254 228562329 239577381 287031762 308293374 457124658 462440061 479154762 685686987 718732143 924880122 1371373974 1387320183 1437464286 2057060961 2156196429 2209435847 2774640366 4114121922 4161960549 4312392858 4418871694 6171182883 6628307541 8323921098 12342365766 13256615082 19884922623 39769845246 59654767869 119309535738 178964303607 357928607214