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161268359925904 = 2472112412312
BaseRepresentation
bin100100101010110000110111…
…010011101001000010010000
3210011000002211021200012101221
4210222300313103221002100
5132114210100120112104
61330553354540134424
745653153203566400
oct4452606723510220
9704002737605357
10161268359925904
1147426588a14500
1216106a7b537414
136bca7059cc51a
142bb7604922800
151399e606a5c54
hex92ac374e9090

161268359925904 has 135 divisors (see below), whose sum is σ = 399527299757523. Its totient is φ = 62830304644800.

The previous prime is 161268359925859. The next prime is 161268359925961. The reversal of 161268359925904 is 409529953862161.

It is a happy number.

The square root of 161268359925904 is 12699148.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3911316969 + ... + 3911358199.

Almost surely, 2161268359925904 is an apocalyptic number.

161268359925904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

161268359925904 is the 12699148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161268359925904

161268359925904 is an abundant number, since it is smaller than the sum of its proper divisors (238258939831619).

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

161268359925904 is an frugal number, since it uses more digits than its factorization.

161268359925904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82506 (or 41251 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 70.

The spelling of 161268359925904 in words is "one hundred sixty-one trillion, two hundred sixty-eight billion, three hundred fifty-nine million, nine hundred twenty-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 539 616 784 847 968 1078 1232 1694 1936 2156 3388 4312 5929 6776 8624 11858 13552 23716 41231 47432 82462 94864 164924 288617 329848 453541 577234 659696 907082 1154468 1814164 2020319 2308936 3174787 3628328 4040638 4617872 4988951 6349574 7256656 8081276 9977902 12699148 16162552 19955804 22223509 25398296 32325104 34922657 39911608 44447018 50796592 69845314 79823216 88894036 139690628 177788072 244458599 279381256 355576144 488917198 558762512 977834396 1699995361 1955668792 3399990722 3911337584 6799981444 11899967527 13599962888 18699948971 23799935054 27199925776 37399897942 47599870108 74799795884 83299772689 95199740216 130899642797 149599591768 166599545378 190399480432 205699438681 261799285594 299199183536 333199090756 411398877362 523598571188 666398181512 822797754724 916297499579 1047197142376 1332796363024 1439896070767 1645595509448 1832594999158 2094394284752 2879792141534 3291191018896 3665189998316 5759584283068 7330379996632 10079272495369 11519168566136 14660759993264 20158544990738 23038337132272 40317089981476 80634179962952 161268359925904