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169231687352464 = 24112173217092
BaseRepresentation
bin100110011110101001010010…
…100111000000000010010000
3211012012101120021010211220111
4212132221102213000002100
5134140142443430234324
61355531544111451104
750434404655100122
oct4636512247000220
9735171507124814
10169231687352464
1149a16834716500
1216b92299826a94
137357630a06c89
142db0c008ad212
151487187d03794
hex99ea529c0090

169231687352464 has 135 divisors (see below), whose sum is σ = 362711591653579. Its totient is φ = 76434099132160.

The previous prime is 169231687352407. The next prime is 169231687352471. The reversal of 169231687352464 is 464253786132961.

The square root of 169231687352464 is 13008908.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3445255699600 + 165786431652864 = 1856140^2 + 12875808^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 169231687352464.

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, 99023806842 + ... + 99023808550.

Almost surely, 2169231687352464 is an apocalyptic number.

169231687352464 is the 13008908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169231687352464

169231687352464 is an abundant number, since it is smaller than the sum of its proper divisors (193479904301115).

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

169231687352464 is an frugal number, since it uses more digits than its factorization.

169231687352464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 1895 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 67.

The spelling of 169231687352464 in words is "one hundred sixty-nine trillion, two hundred thirty-one billion, six hundred eighty-seven million, three hundred fifty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 173 176 242 346 484 692 968 1384 1709 1903 1936 2768 3418 3806 6836 7612 13672 15224 18799 20933 27344 29929 30448 37598 41866 59858 75196 83732 119716 150392 167464 206789 239432 295657 300784 329219 334928 413578 478864 591314 658438 827156 1182628 1316876 1654312 2365256 2633752 2920681 3252227 3308624 3621409 4730512 5267504 5841362 6504454 7242818 11682724 13008908 14485636 23365448 26017816 28971272 32127491 35774497 46730896 51148661 52035632 57942544 64254982 71548994 102297322 128509964 143097988 204594644 257019928 286195976 353402401 409189288 505277813 514039856 562635271 572391952 706804802 818378576 1010555626 1125270542 1413609604 2021111252 2250541084 2827219208 4042222504 4501082168 5558055943 5654438416 6188987981 8084445008 9002164336 11116111886 12377975962 22232223772 24755951924 44464447544 49511903848 61138615373 87413061649 88928895088 99023807696 122277230746 174826123298 244554461492 349652246596 489108922984 699304493192 961543678139 978217845968 1398608986384 1923087356278 3846174712556 7692349425112 10576980459529 15384698850224 21153960919058 42307921838116 84615843676232 169231687352464