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100691479434 = 237131767161911
BaseRepresentation
bin101110111000110101…
…1100000101110001010
3100121220100210010201010
41131301223200232022
53122204004320214
6114131303504350
710163141311350
oct1356153405612
9317810703633
10100691479434
1139780795907
12176214580b6
139658b57780
144c32c1b7d0
152944cc7659
hex1771ae0b8a

100691479434 has 128 divisors (see below), whose sum is σ = 266354307072. Its totient is φ = 24620682240.

The previous prime is 100691479397. The next prime is 100691479481. The reversal of 100691479434 is 434974196001.

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, 540939 + ... + 702849.

It is an arithmetic number, because the mean of its divisors is an integer number (2080893024).

Almost surely, 2100691479434 is an apocalyptic number.

100691479434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100691479434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133177153536).

100691479434 is an abundant number, since it is smaller than the sum of its proper divisors (165662827638).

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

100691479434 is a wasteful number, since it uses less digits than its factorization.

100691479434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162020.

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 100691479434 in words is "one hundred billion, six hundred ninety-one million, four hundred seventy-nine thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 67 78 91 102 119 134 182 201 221 238 273 357 402 442 469 546 663 714 871 938 1139 1326 1407 1547 1742 2278 2613 2814 3094 3417 4641 5226 6097 6834 7973 9282 12194 14807 15946 18291 23919 29614 36582 44421 47838 88842 103649 161911 207298 310947 323822 485733 621894 971466 1133377 2104843 2266754 2752487 3400131 4209686 5504974 6314529 6800262 8257461 10848037 12629058 14733901 16514922 19267409 21696074 29467802 32544111 35782331 38534818 44201703 57802227 65088222 71564662 75936259 88403406 107346993 115604454 141024481 151872518 184416629 214693986 227808777 250476317 282048962 368833258 423073443 455617554 500952634 553249887 751428951 846146886 987171367 1106499774 1290916403 1502857902 1974342734 2397416177 2581832806 2961514101 3872749209 4794832354 5923028202 7192248531 7745498418 14384497062 16781913239 33563826478 50345739717 100691479434