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2275928609616 = 243319945175861
BaseRepresentation
bin100001000111100111111…
…010101001001101010000
322001120120101012112211000
4201013213322221031100
5244242100211001431
64501314104422000
7323300426662614
oct41074772511520
98046511175730
102275928609616
117a8241404222
1230910ba77900
1313680835c2cc
147c226ad1344
153e3072979e6
hex211e7ea9350

2275928609616 has 160 divisors (see below), whose sum is σ = 6568159968000. Its totient is φ = 754534725120.

The previous prime is 2275928609609. The next prime is 2275928609627. The reversal of 2275928609616 is 6169068295722.

2275928609616 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 9 + 2 + 8 + 6 + 0 + 9 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388314526 + ... + 388320386.

It is an arithmetic number, because the mean of its divisors is an integer number (41050999800).

Almost surely, 22275928609616 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 2275928609616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284079984000).

2275928609616 is an abundant number, since it is smaller than the sum of its proper divisors (4292231358384).

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

2275928609616 is a wasteful number, since it uses less digits than its factorization.

2275928609616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10594 (or 10582 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 2275928609616 in words is "two trillion, two hundred seventy-five billion, nine hundred twenty-eight million, six hundred nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 199 216 398 432 597 796 1194 1592 1791 2388 3184 3582 4517 4776 5373 5861 7164 9034 9552 10746 11722 13551 14328 17583 18068 21492 23444 27102 28656 35166 36136 40653 42984 46888 52749 54204 70332 72272 81306 85968 93776 105498 108408 121959 140664 158247 162612 210996 216816 243918 281328 316494 325224 421992 487836 632988 650448 843984 898883 975672 1166339 1265976 1797766 1951344 2332678 2531952 2696649 3499017 3595532 4665356 5393298 6998034 7191064 8089947 9330712 10497051 10786596 13996068 14382128 16179894 18661424 20994102 21573192 24269841 26474137 27992136 31491153 32359788 41988204 43146384 48539682 52948274 55984272 62982306 64719576 79422411 83976408 97079364 105896548 125964612 129439152 158844822 167952816 194158728 211793096 238267233 251929224 317689644 388317456 423586192 476534466 503858448 635379288 714801699 953068932 1270758576 1429603398 1906137864 2859206796 3812275728 5268353263 5718413592 10536706526 11436827184 15805059789 21073413052 31610119578 42146826104 47415179367 63220239156 84293652208 94830358734 126440478312 142245538101 189660717468 252880956624 284491076202 379321434936 568982152404 758642869872 1137964304808 2275928609616