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61443502884 = 22344722932
BaseRepresentation
bin111001001110010100…
…010111001100100100
312212121002210100110000
4321032110113030210
52001314014043014
644120551301300
74303425104631
oct711624271444
9185532710400
1061443502884
112407028a155
12baa937a830
135a4282a9ca
142d8c48b188
1518e933c509
hexe4e517324

61443502884 has 135 divisors (see below), whose sum is σ = 164677764097. Its totient is φ = 19976983776.

The previous prime is 61443502867. The next prime is 61443502907. The reversal of 61443502884 is 48820534416.

The square root of 61443502884 is 247878.

It is a perfect power (a square), and thus also a powerful number.

61443502884 is a `hidden beast` number, since 6 + 14 + 4 + 350 + 288 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58134032100 + 3309470784 = 241110^2 + 57528^2 .

It is a super-2 number, since 2×614435028842 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 209704642 + ... + 209704934.

Almost surely, 261443502884 is an apocalyptic number.

61443502884 is the 247878-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61443502884

61443502884 is an abundant number, since it is smaller than the sum of its proper divisors (103234261213).

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

61443502884 is an equidigital number, since it uses as much as digits as its factorization.

61443502884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 61443502884 in words is "sixty-one billion, four hundred forty-three million, five hundred two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 293 324 423 564 586 846 879 1172 1269 1692 1758 2209 2538 2637 3516 3807 4418 5076 5274 6627 7614 7911 8836 10548 13254 13771 15228 15822 19881 23733 26508 27542 31644 39762 41313 47466 55084 59643 79524 82626 85849 94932 119286 123939 165252 171698 178929 238572 247878 257547 343396 357858 371817 495756 515094 647237 715716 743634 772641 1030188 1115451 1294474 1487268 1545282 1941711 2230902 2317923 2588948 3090564 3883422 4034903 4461804 4635846 5825133 6953769 7766844 8069806 9271692 11650266 12104709 13907538 16139612 17475399 23300532 24209418 27815076 34950798 36314127 48418836 52426197 69901596 72628254 104852394 108942381 145256508 189640441 209704788 217884762 326827143 379280882 435769524 568921323 653654286 758561764 1137842646 1307308572 1706763969 2275685292 3413527938 5120291907 6827055876 10240583814 15360875721 20481167628 30721751442 61443502884