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150810655689001 = 7211243237092
BaseRepresentation
bin100010010010100101010111…
…100011111000100100101001
3201202222100122220011121202101
4202102211113203320210221
5124231340210324022001
61252425243032533401
743523465431340200
oct4222452743704451
9652870586147671
10150810655689001
1144064492568900
1214ab8147551261
13661c4cb2c92b9
1429353bba26237
151267de7e4ca01
hex8929578f8929

150810655689001 has 81 divisors (see below), whose sum is σ = 197473073255703. Its totient is φ = 114750947535840.

The previous prime is 150810655688971. The next prime is 150810655689017. The reversal of 150810655689001 is 100986556018051.

The square root of 150810655689001 is 12280499.

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

It can be written as a sum of positive squares in only one way, i.e., 39951235848601 + 110859419840400 = 6320699^2 + 10528980^2 .

It is not a de Polignac number, because 150810655689001 - 213 = 150810655680809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (150810655689301) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40660730335 + ... + 40660734043.

Almost surely, 2150810655689001 is an apocalyptic number.

150810655689001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

150810655689001 is the 12280499-th square number.

150810655689001 is the 6140250-th centered octagonal number.

It is an amenable number.

150810655689001 is a deficient number, since it is larger than the sum of its proper divisors (46662417566702).

150810655689001 is an frugal number, since it uses more digits than its factorization.

150810655689001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7540 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 55.

The spelling of 150810655689001 in words is "one hundred fifty trillion, eight hundred ten billion, six hundred fifty-five million, six hundred eighty-nine thousand, one".

Divisors: 1 7 11 43 49 77 121 301 473 539 847 1849 2107 3311 3709 5203 5929 12943 20339 23177 25963 36421 40799 90601 142373 159487 181741 223729 254947 285593 448789 996611 1116409 1566103 1754357 1999151 3141523 6857941 7814863 10962721 12280499 13756681 19297927 21990661 48005587 75437351 85963493 96296767 135085489 151323491 336039109 528061457 591537283 674077369 829810861 945598423 1059264437 1664558401 3696430199 4140760981 5808676027 6506910113 7414851059 11651908807 25436103169 28985326867 40660732189 45548370791 71576011243 81563361649 178052722183 279797134859 318838595537 501032078701 1246369055281 1958579944013 3077768483449 3507224550907 13710059608091 21544379384143 150810655689001