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90320855142 = 23721983194809
BaseRepresentation
bin101010000011110001…
…0101110000001100110
322122010121121211122010
41110013202232001212
52434434114331032
6105254241215050
76345143413200
oct1240742560146
9278117554563
1090320855142
113533984a331
1215608331486
1386954427ab
14452b77d770
152539609ccc
hex15078ae066

90320855142 has 96 divisors (see below), whose sum is σ = 223860067200. Its totient is φ = 24153075072.

The previous prime is 90320855117. The next prime is 90320855153. The reversal of 90320855142 is 24155802309.

It is a self number, because there is not a number n which added to its sum of digits gives 90320855142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366234 + ... + 561042.

It is an arithmetic number, because the mean of its divisors is an integer number (2331875700).

Almost surely, 290320855142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90320855142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111930033600).

90320855142 is an abundant number, since it is smaller than the sum of its proper divisors (133539212058).

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

90320855142 is a wasteful number, since it uses less digits than its factorization.

90320855142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194930 (or 194923 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 90320855142 in words is "ninety billion, three hundred twenty million, eight hundred fifty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 83 98 114 133 147 166 249 266 294 399 498 581 798 931 1162 1577 1743 1862 2793 3154 3486 4067 4731 5586 8134 9462 11039 12201 22078 24402 33117 66234 77273 154546 194809 231819 389618 463638 584427 1168854 1363663 2727326 3701371 4090989 7402742 8181978 9545641 11104113 16169147 19091282 22208226 25909597 28636923 32338294 48507441 51819194 57273846 77728791 97014882 113184029 155457582 181367179 226368058 307213793 339552087 362734358 544101537 614427586 679104174 792288203 921641379 1088203074 1584576406 1843282758 2150496551 2376864609 4300993102 4753729218 6451489653 12902979306 15053475857 30106951714 45160427571 90320855142