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196940862407844 = 2232412570472
BaseRepresentation
bin101100110001110111011110…
…001001010100010010100100
3221211022100210022112211112100
4230301313132021110102210
5201303134341234022334
61534505214434052100
756324336106652332
oct5461673611242244
9854270708484470
10196940862407844
115782a172656375
121a10856041a030
1385b759c8958c9
14368bdbaa0ab52
1517b7d3cb9ac99
hexb31dde2544a4

196940862407844 has 81 divisors (see below), whose sum is σ = 510269844976801. Its totient is φ = 64044686228160.

The previous prime is 196940862407831. The next prime is 196940862407857. The reversal of 196940862407844 is 448704268049691.

The square root of 196940862407844 is 14033562.

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

196940862407844 is a `hidden beast` number, since 1 + 9 + 69 + 4 + 0 + 86 + 2 + 407 + 84 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (196940862407831) and next prime (196940862407857).

It can be written as a sum of positive squares in only one way, i.e., 9489714369444 + 187451148038400 = 3080538^2 + 13691280^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 3452227729 + ... + 3452284775.

Almost surely, 2196940862407844 is an apocalyptic number.

196940862407844 is the 14033562-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196940862407844

196940862407844 is an abundant number, since it is smaller than the sum of its proper divisors (313328982568957).

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

196940862407844 is an frugal number, since it uses more digits than its factorization.

196940862407844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114186 (or 57093 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 196940862407844 in words is "one hundred ninety-six trillion, nine hundred forty billion, eight hundred sixty-two million, four hundred seven thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1681 3362 5043 6724 10086 15129 20172 30258 57047 60516 114094 171141 228188 342282 513423 684564 1026846 2053692 2338927 4677854 7016781 9355708 14033562 21050343 28067124 42100686 84201372 95896007 191792014 287688021 383584028 575376042 863064063 1150752084 1726128126 3254360209 3452256252 6508720418 9763080627 13017440836 19526161254 29289241881 39052322508 58578483762 117156967524 133428768569 266857537138 400286305707 533715074276 800572611414 1200858917121 1601145222828 2401717834242 4803435668484 5470579511329 10941159022658 16411738533987 21882318045316 32823477067974 49235215601961 65646954135948 98470431203922 196940862407844