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106720611072156 = 223237296292704127
BaseRepresentation
bin11000010000111111010100…
…000111001111100010011100
3111222212101112212201102120200
4120100333110013033202130
5102442002302413302111
61014550434421543500
731323211141536354
oct3020772407174234
9458771485642520
10106720611072156
1131005a58827854
12bb77204874b90
134771930ac1a53
141c4d43b417b64
15c510ac034256
hex610fd41cf89c

106720611072156 has 72 divisors (see below), whose sum is σ = 277066415109120. Its totient is φ = 34610909095296.

The previous prime is 106720611072139. The next prime is 106720611072191. The reversal of 106720611072156 is 651270116027601.

106720611072156 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 2 + 0 + 611 + 0 + 7 + 21 + 5 + 6 = 666.

It is a super-2 number, since 2×1067206110721562 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38113765 + ... + 40817891.

Almost surely, 2106720611072156 is an apocalyptic number.

It is an amenable number.

106720611072156 is an abundant number, since it is smaller than the sum of its proper divisors (170345804036964).

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

106720611072156 is a wasteful number, since it uses less digits than its factorization.

106720611072156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733803 (or 2733798 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

Adding to 106720611072156 its reverse (651270116027601), we get a palindrome (757990727099757).

The spelling of 106720611072156 in words is "one hundred six trillion, seven hundred twenty billion, six hundred eleven million, seventy-two thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 29629 59258 88887 118516 177774 266661 355548 533322 1066644 1096273 2192546 2704127 3288819 4385092 5408254 6577638 8112381 9866457 10816508 13155276 16224762 19732914 24337143 32449524 39465828 48674286 97348572 100052699 200105398 300158097 400210796 600316194 900474291 1200632388 1800948582 3601897164 80120578883 160241157766 240361736649 320482315532 480723473298 721085209947 961446946596 1442170419894 2884340839788 2964461418671 5928922837342 8893384256013 11857845674684 17786768512026 26680152768039 35573537024052 53360305536078 106720611072156