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61631891802 = 23213312614493
BaseRepresentation
bin111001011001100011…
…000000100101011010
312220002020021111110100
4321121203000211122
52002210231014202
644151401200230
74311203302515
oct713143004532
9186066244410
1061631891802
1124157661578
12bb40490076
135a7287b040
142da94c9d7c
15190ab5141c
hexe598c095a

61631891802 has 144 divisors (see below), whose sum is σ = 151065971784. Its totient is φ = 18047059200.

The previous prime is 61631891773. The next prime is 61631891803. The reversal of 61631891802 is 20819813616.

61631891802 is a `hidden beast` number, since 6 + 1 + 631 + 8 + 9 + 1 + 8 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46032131601 + 15599760201 = 214551^2 + 124899^2 .

It is not an unprimeable number, because it can be changed into a prime (61631891803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13715068 + ... + 13719560.

Almost surely, 261631891802 is an apocalyptic number.

61631891802 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61631891802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75532985892).

61631891802 is an abundant number, since it is smaller than the sum of its proper divisors (89434079982).

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

61631891802 is a wasteful number, since it uses less digits than its factorization.

61631891802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 61631891802 in words is "sixty-one billion, six hundred thirty-one million, eight hundred ninety-one thousand, eight hundred two".

Divisors: 1 2 3 6 9 13 18 26 31 39 61 62 78 93 117 122 183 186 234 279 366 403 549 558 793 806 961 1098 1209 1586 1891 1922 2379 2418 2883 3627 3782 4493 4758 5673 5766 7137 7254 8649 8986 11346 12493 13479 14274 17019 17298 24583 24986 26958 34038 37479 40437 49166 58409 58621 73749 74958 80874 112437 116818 117242 139283 147498 175227 175863 221247 224874 274073 278566 350454 351726 417849 442494 525681 527589 548146 762073 822219 835698 1051362 1055178 1253547 1524146 1644438 1810679 2286219 2466657 2507094 3562949 3621358 4317773 4572438 4933314 5432037 6858657 7125898 8496263 8635546 10688847 10864074 12953319 13717314 16296111 16992526 21377694 25488789 25906638 32066541 32592222 38859957 50977578 56131049 64133082 76466367 77719914 110451419 112262098 152932734 168393147 220902838 263384153 331354257 336786294 505179441 526768306 662708514 790152459 994062771 1010358882 1580304918 1988125542 2370457377 3423993989 4740914754 6847987978 10271981967 20543963934 30815945901 61631891802