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85174087716 = 223212723832
BaseRepresentation
bin100111101010011000…
…1010111000000100100
322010211221001222000100
41033110301113000210
52343414031301331
6103043424144100
76103456541304
oct1172461270044
9263757058010
1085174087716
1133138608833
1214610768030
138055077493
14419ddd5604
152337861ae6
hex13d4c57024

85174087716 has 81 divisors (see below), whose sum is σ = 217577884251. Its totient is φ = 28094263344.

The previous prime is 85174087673. The next prime is 85174087717. The reversal of 85174087716 is 61778047158.

The square root of 85174087716 is 291846.

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

85174087716 is a `hidden beast` number, since 8 + 517 + 40 + 8 + 77 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (85174087717) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 222386461 + ... + 222386843.

Almost surely, 285174087716 is an apocalyptic number.

85174087716 is the 291846-th square number.

It is an amenable number.

85174087716 is an abundant number, since it is smaller than the sum of its proper divisors (132403796535).

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

85174087716 is a wasteful number, since it uses less digits than its factorization.

85174087716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 85174087716 in words is "eighty-five billion, one hundred seventy-four million, eighty-seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 383 508 762 766 1143 1149 1524 1532 2286 2298 3447 4572 4596 6894 13788 16129 32258 48387 48641 64516 96774 97282 145161 145923 146689 193548 194564 290322 291846 293378 437769 440067 580644 583692 586756 875538 880134 1320201 1751076 1760268 2640402 5280804 6177407 12354814 18532221 18629503 24709628 37064442 37259006 55596663 55888509 74128884 74518012 111193326 111777018 167665527 222386652 223554036 335331054 670662108 2365946881 4731893762 7097840643 9463787524 14195681286 21293521929 28391362572 42587043858 85174087716