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2157785228466 = 232727141982237
BaseRepresentation
bin11111011001100110000…
…001011010010010110010
321122021121202120221120200
4133121212001122102302
5240323121004302331
64331134534020030
7311615633550300
oct37314601322262
97567552527520
102157785228466
1176212556534a
122aa239aa7616
1312862a9c9c9a
147661a19d270
153b1e02d15e6
hex1f66605a4b2

2157785228466 has 144 divisors (see below), whose sum is σ = 5528327837760. Its totient is φ = 606368790720.

The previous prime is 2157785228437. The next prime is 2157785228491. The reversal of 2157785228466 is 6648225877512.

2157785228466 is a `hidden beast` number, since 2 + 1 + 5 + 77 + 85 + 2 + 28 + 466 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26197500 + ... + 26279736.

It is an arithmetic number, because the mean of its divisors is an integer number (38391165540).

Almost surely, 22157785228466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2157785228466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764163918880).

2157785228466 is an abundant number, since it is smaller than the sum of its proper divisors (3370542609294).

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

2157785228466 is a wasteful number, since it uses less digits than its factorization.

2157785228466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82749 (or 82739 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 2157785228466 in words is "two trillion, one hundred fifty-seven billion, seven hundred eighty-five million, two hundred twenty-eight thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 71 98 126 142 147 213 294 419 426 441 497 639 838 882 994 1257 1278 1491 2514 2933 2982 3479 3771 4473 5866 6958 7542 8799 8946 10437 17598 20531 20874 26397 29749 31311 41062 52794 59498 61593 62622 82237 89247 123186 164474 178494 184779 208243 246711 267741 369558 416486 493422 535482 575659 624729 740133 1151318 1249458 1457701 1480266 1726977 1874187 2915402 3453954 3748374 4029613 4373103 5180931 5838827 8059226 8746206 10361862 11677654 12088839 13119309 17516481 24177678 26238618 34457303 35032962 36266517 40871789 52549443 68914606 72533034 81743578 103371909 105098886 122615367 206743818 241201121 245230734 286102523 310115727 367846101 482402242 572205046 620231454 723603363 735692202 858307569 1447206726 1688407847 1716615138 2170810089 2446468513 2574922707 3376815694 4341620178 4892937026 5065223541 5149845414 7339405539 10130447082 14678811078 15195670623 17125279591 22018216617 30391341246 34250559182 44036433234 51375838773 102751677546 119876957137 154127516319 239753914274 308255032638 359630871411 719261742822 1078892614233 2157785228466