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355113204152 = 2373407931727
BaseRepresentation
bin1010010101011100110…
…01010111100110111000
31020221121110010212211112
411022232121113212320
521304232440013102
6431045312215452
734441015301000
oct5125631274670
91227543125745
10355113204152
1112766a167303
12589a683a588
1327644014b05
141328a9a1000
159385dbc252
hex52ae6579b8

355113204152 has 64 divisors (see below), whose sum is σ = 776701440000. Its totient is φ = 152149266528.

The previous prime is 355113204143. The next prime is 355113204163. The reversal of 355113204152 is 251402311553.

It is a super-2 number, since 2×3551132041522 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11176913 + ... + 11208639.

It is an arithmetic number, because the mean of its divisors is an integer number (12135960000).

Almost surely, 2355113204152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355113204152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388350720000).

355113204152 is an abundant number, since it is smaller than the sum of its proper divisors (421588235848).

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

355113204152 is a wasteful number, since it uses less digits than its factorization.

355113204152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35833 (or 35815 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 355113204152 in words is "three hundred fifty-five billion, one hundred thirteen million, two hundred four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2744 4079 8158 16316 28553 31727 32632 57106 63454 114212 126908 199871 222089 228424 253816 399742 444178 799484 888356 1399097 1554623 1598968 1776712 2798194 3109246 5596388 6218492 10882361 11192776 12436984 21764722 43529444 87058888 129414433 258828866 517657732 905901031 1035315464 1811802062 3623604124 6341307217 7247208248 12682614434 25365228868 44389150519 50730457736 88778301038 177556602076 355113204152