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157607272095 = 357135314711481
BaseRepresentation
bin1001001011001000100…
…0000001111010011111
3120001210220212222100220
42102302020001322133
510040234430201340
6200223114452423
714246440465050
oct2226210017237
9501726788326
10157607272095
1160928218289
1226666434113
1311b29628cb0
1478b1c28727
1541768a0ed0
hex24b2201e9f

157607272095 has 128 divisors (see below), whose sum is σ = 316649668608. Its totient is φ = 65163571200.

The previous prime is 157607272061. The next prime is 157607272133. The reversal of 157607272095 is 590272706751.

It is not a de Polignac number, because 157607272095 - 218 = 157607009951 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106418755 + ... + 106420235.

It is an arithmetic number, because the mean of its divisors is an integer number (2473825536).

Almost surely, 2157607272095 is an apocalyptic number.

157607272095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

157607272095 is an abundant number, since it is smaller than the sum of its proper divisors (159042396513).

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

157607272095 is a wasteful number, since it uses less digits than its factorization.

157607272095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033.

The product of its (nonzero) digits is 1852200, while the sum is 51.

The spelling of 157607272095 in words is "one hundred fifty-seven billion, six hundred seven million, two hundred seventy-two thousand, ninety-five".

Divisors: 1 3 5 7 13 15 21 35 39 53 65 91 105 159 195 265 273 371 455 689 795 1113 1365 1471 1481 1855 2067 3445 4413 4443 4823 5565 7355 7405 10297 10335 10367 14469 19123 19253 22065 22215 24115 30891 31101 51485 51835 57369 57759 72345 77963 78493 95615 96265 133861 134771 154455 155505 233889 235479 286845 288795 389815 392465 401583 404313 545741 549451 669305 673855 1013519 1020409 1169445 1177395 1637223 1648353 2007915 2021565 2178551 2728705 2747255 3040557 3061227 5067595 5102045 6535653 7094633 7142863 8186115 8241765 10892755 15202785 15249857 15306135 21283899 21428589 28321163 32678265 35473165 35714315 45749571 76249285 84963489 106419495 107142945 115463203 141605815 198248141 228747855 346389609 424817445 577316015 594744423 808242421 991240705 1501021639 1731948045 2424727263 2973722115 4041212105 4503064917 7505108195 10507151473 12123636315 22515324585 31521454419 52535757365 157607272095