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157834517085 = 3457311795921
BaseRepresentation
bin1001001011111110101…
…0111001101001011101
3120002101202111012220000
42102333222321221131
510041221114021320
6200301433244513
714255200154640
oct2227752715135
9502352435800
10157834517085
1160a34519863
122670a563739
1311b6473229b
1478d409da57
15418b7dcc90
hex24bfab9a5d

157834517085 has 80 divisors (see below), whose sum is σ = 333782879232. Its totient is φ = 69825369600.

The previous prime is 157834517081. The next prime is 157834517101. The reversal of 157834517085 is 580715438751.

157834517085 is a `hidden beast` number, since 1 + 57 + 8 + 345 + 170 + 85 = 666.

It is not a de Polignac number, because 157834517085 - 22 = 157834517081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157834517081) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 810076 + ... + 985845.

Almost surely, 2157834517085 is an apocalyptic number.

157834517085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157834517085 is an abundant number, since it is smaller than the sum of its proper divisors (175948362147).

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

157834517085 is a wasteful number, since it uses less digits than its factorization.

157834517085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795976 (or 1795967 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 157834517085 in words is "one hundred fifty-seven billion, eight hundred thirty-four million, five hundred seventeen thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 63 81 93 105 135 155 189 217 279 315 405 465 567 651 837 945 1085 1395 1953 2511 2835 3255 4185 5859 9765 12555 17577 29295 87885 1795921 5387763 8979605 12571447 16163289 26938815 37714341 48489867 55673551 62857235 80816445 113143023 145469601 167020653 188571705 242449335 278367755 339429069 389714857 501061959 565715115 727348005 835103265 1018287207 1169144571 1503185877 1697145345 1948574285 2505309795 3507433713 4509557631 5091436035 5845722855 7515929385 10522301139 17537168565 22547788155 31566903417 52611505695 157834517085