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156242216416 = 25111345774713
BaseRepresentation
bin1001000110000011000…
…0110000010111100000
3112221021210021222000011
42101200300300113200
510024441001411131
6155435432534304
714200553632636
oct2214060602740
9487253258004
10156242216416
11602977267a0
1226345251394
131196c893b40
1477c2811356
1540e6b100b1
hex2460c305e0

156242216416 has 96 divisors (see below), whose sum is σ = 362174023008. Its totient is φ = 65411850240.

The previous prime is 156242216399. The next prime is 156242216423. The reversal of 156242216416 is 614612242651.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2053876 + ... + 2128588.

It is an arithmetic number, because the mean of its divisors is an integer number (3772646073).

Almost surely, 2156242216416 is an apocalyptic number.

156242216416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156242216416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181087011504).

156242216416 is an abundant number, since it is smaller than the sum of its proper divisors (205931806592).

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

156242216416 is a wasteful number, since it uses less digits than its factorization.

156242216416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75204 (or 75196 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The spelling of 156242216416 in words is "one hundred fifty-six billion, two hundred forty-two million, two hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 457 572 914 1144 1828 2288 3656 4576 5027 5941 7312 10054 11882 14624 20108 23764 40216 47528 65351 74713 80432 95056 130702 149426 160864 190112 261404 298852 522808 597704 821843 971269 1045616 1195408 1643686 1942538 2091232 2390816 3287372 3885076 6574744 7770152 10683959 13149488 15540304 21367918 26298976 31080608 34143841 42735836 68287682 85471672 136575364 170943344 273150728 341886688 375582251 443869933 546301456 751164502 887739866 1092602912 1502329004 1775479732 3004658008 3550959464 4882569263 6009316016 7101918928 9765138526 12018632032 14203837856 19530277052 39060554104 78121108208 156242216416