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61463493744 = 24317229328921
BaseRepresentation
bin111001001111100000…
…100111110001110000
312212122111101222202020
4321033200213301300
52001334123244434
644122543551440
74304060035212
oct711740476160
9185574358666
1061463493744
11240805a3624
12bab3bbb580
135a46a09c13
142d90db25b2
1518eae8a849
hexe4f827c70

61463493744 has 80 divisors (see below), whose sum is σ = 168855397920. Its totient is φ = 19198402560.

The previous prime is 61463493739. The next prime is 61463493821. The reversal of 61463493744 is 44739436416.

61463493744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×614634937442 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22404 + ... + 351324.

It is an arithmetic number, because the mean of its divisors is an integer number (2110692474).

Almost surely, 261463493744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61463493744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84427698960).

61463493744 is an abundant number, since it is smaller than the sum of its proper divisors (107391904176).

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

61463493744 is a wasteful number, since it uses less digits than its factorization.

61463493744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329178 (or 329172 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 51.

The spelling of 61463493744 in words is "sixty-one billion, four hundred sixty-three million, four hundred ninety-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 229 272 408 458 687 816 916 1374 1832 2748 3664 3893 5496 7786 10992 11679 15572 23358 31144 46716 62288 93432 186864 328921 657842 986763 1315684 1973526 2631368 3947052 5262736 5591657 7894104 11183314 15788208 16774971 22366628 33549942 44733256 67099884 75322909 89466512 134199768 150645818 225968727 268399536 301291636 451937454 602583272 903874908 1205166544 1280489453 1807749816 2560978906 3615499632 3841468359 5121957812 7682936718 10243915624 15365873436 20487831248 30731746872 61463493744