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160997729408 = 273724122409
BaseRepresentation
bin1001010111110000110…
…1100110010010000000
3120101120012122001102222
42111330031212102000
510114210404320113
6201543352030212
714426450056205
oct2257415462200
9511505561388
10160997729408
116230802601a
1227251992368
1312249b90459
147b1422dcac
1542c4370e08
hex257c366480

160997729408 has 96 divisors (see below), whose sum is σ = 337695617700. Its totient is φ = 76409487360.

The previous prime is 160997729383. The next prime is 160997729423. The reversal of 160997729408 is 804927799061.

It can be written as a sum of positive squares in 6 ways, for example, as 112418042944 + 48579686464 = 335288^2 + 220408^2 .

It is a super-3 number, since 3×1609977294083 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7173308 + ... + 7195716.

Almost surely, 2160997729408 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 160997729408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168847808850).

160997729408 is an abundant number, since it is smaller than the sum of its proper divisors (176697888292).

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

160997729408 is an equidigital number, since it uses as much as digits as its factorization.

160997729408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22538 (or 22489 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 62.

The spelling of 160997729408 in words is "one hundred sixty billion, nine hundred ninety-seven million, seven hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 128 148 164 296 328 592 656 1184 1312 1369 1517 2368 2624 2738 3034 4736 5248 5476 6068 10952 12136 21904 22409 24272 43808 44818 48544 56129 87616 89636 97088 112258 175232 179272 194176 224516 358544 449032 717088 829133 898064 918769 1434176 1658266 1796128 1837538 2868352 3316532 3592256 3675076 6633064 7184512 7350152 13266128 14700304 26532256 29400608 30677921 33994453 53064512 58801216 61355842 67988906 106129024 117602432 122711684 135977812 245423368 271955624 490846736 543911248 981693472 1087822496 1257794761 1963386944 2175644992 2515589522 3926773888 4351289984 5031179044 10062358088 20124716176 40249432352 80498864704 160997729408