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131570506435 = 51729313974337
BaseRepresentation
bin111101010001000110…
…1101001101011000011
3110120121101010020102211
41322202031221223003
54123424022201220
6140235340322551
712335303565214
oct1724215515303
9416541106384
10131570506435
1150887136935
12215ba843457
13c53a381c94
146521cc340b
153650b88b5a
hex1ea2369ac3

131570506435 has 64 divisors (see below), whose sum is σ = 179006008320. Its totient is φ = 92308930560.

The previous prime is 131570506391. The next prime is 131570506453. The reversal of 131570506435 is 534605075131.

It is not a de Polignac number, because 131570506435 - 27 = 131570506307 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30334587 + ... + 30338923.

It is an arithmetic number, because the mean of its divisors is an integer number (2796968880).

Almost surely, 2131570506435 is an apocalyptic number.

131570506435 is a deficient number, since it is larger than the sum of its proper divisors (47435501885).

131570506435 is a wasteful number, since it uses less digits than its factorization.

131570506435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816.

The product of its (nonzero) digits is 189000, while the sum is 40.

The spelling of 131570506435 in words is "one hundred thirty-one billion, five hundred seventy million, five hundred six thousand, four hundred thirty-five".

Divisors: 1 5 17 29 31 85 145 155 397 493 527 899 1985 2465 2635 4337 4495 6749 11513 12307 15283 21685 33745 57565 61535 73729 76415 125773 134447 195721 209219 356903 368645 628865 672235 978605 1046095 1721789 1784515 2138141 2285599 3898963 6067351 8608945 10690705 11427995 19494815 29270413 30336755 49931881 53375459 66282371 146352065 249659405 266877295 331411855 848841977 907382803 1547888311 4244209885 4536914015 7739441555 26314101287 131570506435