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72206210264 = 231973109227263
BaseRepresentation
bin100001100111111010…
…0110101010011011000
320220101011201112101212
41003033310311103120
52140334242212024
653100541402252
75134223442356
oct1031764652330
9226334645355
1072206210264
1128693583541
1211bb1869388
136a69541906
1436cda2c7d6
151d29157a0e
hex10cfd354d8

72206210264 has 128 divisors (see below), whose sum is σ = 146988864000. Its totient is φ = 33151140864.

The previous prime is 72206210147. The next prime is 72206210287. The reversal of 72206210264 is 46201260227.

It is a self number, because there is not a number n which added to its sum of digits gives 72206210264.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 274548197 + ... + 274548459.

It is an arithmetic number, because the mean of its divisors is an integer number (1148350500).

Almost surely, 272206210264 is an apocalyptic number.

It is an amenable number.

72206210264 is an abundant number, since it is smaller than the sum of its proper divisors (74782653736).

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

72206210264 is a wasteful number, since it uses less digits than its factorization.

72206210264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 72206210264 in words is "seventy-two billion, two hundred six million, two hundred ten thousand, two hundred sixty-four".

Divisors: 1 2 4 8 19 38 73 76 109 146 152 218 227 263 292 436 454 526 584 872 908 1052 1387 1816 2071 2104 2774 4142 4313 4997 5548 7957 8284 8626 9994 11096 15914 16568 16571 17252 19199 19988 24743 28667 31828 33142 34504 38398 39976 49486 57334 59701 63656 66284 76796 98972 114668 119402 132568 151183 153592 197944 229336 238804 302366 314849 364781 470117 477608 544673 604732 629698 729562 940234 1089346 1134319 1209464 1259396 1459124 1806239 1880468 2092691 2178692 2268638 2518792 2918248 3612478 3760936 4185382 4357384 4358173 4537276 6507409 7224956 8370764 8716346 9074552 13014818 14449912 16741528 17432692 26029636 34318541 34865384 39761129 52059272 68637082 79522258 82805287 123640771 137274164 159044516 165610574 247281542 274548328 318089032 331221148 475040857 494563084 662442296 950081714 989126168 1900163428 3800326856 9025776283 18051552566 36103105132 72206210264