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4121660322 = 2331329613319
BaseRepresentation
bin1111010110101011…
…1000101110100010
3101122020122001001000
43311222320232202
531420121112242
61520553252430
7204065351253
oct36552705642
911566561030
104121660322
11182562a44a
12970404116
13508baa280
142b1582b2a
15191ca7a4c
hexf5ab8ba2

4121660322 has 128 divisors (see below), whose sum is σ = 10374336000. Its totient is φ = 1204035840.

The previous prime is 4121660321. The next prime is 4121660357. The reversal of 4121660322 is 2230661214.

4121660322 is a `hidden beast` number, since 41 + 2 + 16 + 603 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4121660321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1240179 + ... + 1243497.

It is an arithmetic number, because the mean of its divisors is an integer number (81049500).

Almost surely, 24121660322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121660322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187168000).

4121660322 is an abundant number, since it is smaller than the sum of its proper divisors (6252675678).

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

4121660322 is a wasteful number, since it uses less digits than its factorization.

4121660322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4121660322 is about 64200.1582708329. The cubic root of 4121660322 is about 1603.3342347332.

The spelling of 4121660322 in words is "four billion, one hundred twenty-one million, six hundred sixty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 61 78 87 117 122 174 183 234 261 351 366 377 522 549 702 754 783 793 1098 1131 1566 1586 1647 1769 2262 2379 3294 3319 3393 3538 4758 5307 6638 6786 7137 9957 10179 10614 14274 15921 19914 20358 21411 22997 29871 31842 42822 43147 45994 47763 59742 68991 86294 89613 95526 96251 129441 137982 179226 192502 202459 206973 258882 288753 388323 404918 413946 577506 607377 620919 776646 866259 1164969 1214754 1241838 1251263 1732518 1822131 2329938 2502526 2598777 2631967 3644262 3753789 5197554 5263934 5466393 5871311 7507578 7895901 10932786 11261367 11742622 15791802 17613933 22522734 23687703 33784101 35227866 47375406 52841799 67568202 71063109 76327043 105683598 142126218 152654086 158525397 228981129 317050794 457962258 686943387 1373886774 2060830161 4121660322