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41072691804804 = 2232112971032
BaseRepresentation
bin10010101011010111110110…
…01101000111101010000100
312101102111210111210201200100
421111223323031013222010
520340413333100223204
6223204311212244100
711436255406663602
oct1125537315075204
9171374714721610
1041072691804804
11120a5915840900
1247341b5470630
1319bc1a488514a
14a1dd00c36872
154b35dd05aa39
hex255afb347a84

41072691804804 has 81 divisors (see below), whose sum is σ = 114120272796439. Its totient is φ = 12446142067920.

The previous prime is 41072691804733. The next prime is 41072691804923. The reversal of 41072691804804 is 40840819627014.

The square root of 41072691804804 is 6408798.

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

41072691804804 is a `hidden beast` number, since 4 + 1 + 0 + 72 + 6 + 91 + 8 + 0 + 480 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian 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, 422932117 + ... + 423029219.

Almost surely, 241072691804804 is an apocalyptic number.

41072691804804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

41072691804804 is the 6408798-th square number.

It is an amenable number.

41072691804804 is an abundant number, since it is smaller than the sum of its proper divisors (73047580991635).

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

41072691804804 is an frugal number, since it uses more digits than its factorization.

41072691804804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194238 (or 97119 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 41072691804804 in words is "forty-one trillion, seventy-two billion, six hundred ninety-one million, eight hundred four thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 97103 194206 291309 388412 582618 873927 1068133 1165236 1747854 2136266 3204399 3495708 4272532 6408798 9613197 11749463 12817596 19226394 23498926 35248389 38452788 46997852 70496778 105745167 140993556 211490334 422980668 9428992609 18857985218 28286977827 37715970436 56573955654 84860933481 103718918699 113147911308 169721866962 207437837398 311156756097 339443733924 414875674796 622313512194 933470268291 1140908105689 1244627024388 1866940536582 2281816211378 3422724317067 3733881073164 4563632422756 6845448634134 10268172951201 13690897268268 20536345902402 41072691804804