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61448265954 = 23341241711483
BaseRepresentation
bin111001001110100110…
…100010000011100010
312212121102202100011000
4321032212202003202
52001321224002304
644121241332430
74303513433265
oct711646420342
9185542670130
1061448265954
1124072a42779
12baaaa97116
135a438079aa
142d8cd6acdc
1518e997d939
hexe4e9a20e2

61448265954 has 64 divisors (see below), whose sum is σ = 139952292480. Its totient is φ = 19973168640.

The previous prime is 61448265919. The next prime is 61448265961. The reversal of 61448265954 is 45956284416.

It is a happy number.

61448265954 is a `hidden beast` number, since 6 + 1 + 4 + 48 + 2 + 6 + 595 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 61448265954.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5345497 + ... + 5356979.

It is an arithmetic number, because the mean of its divisors is an integer number (2186754570).

Almost surely, 261448265954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61448265954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69976146240).

61448265954 is an abundant number, since it is smaller than the sum of its proper divisors (78504026526).

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

61448265954 is a wasteful number, since it uses less digits than its factorization.

61448265954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13952 (or 13946 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 61448265954 in words is "sixty-one billion, four hundred forty-eight million, two hundred sixty-five thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 2417 4834 7251 11483 14502 21753 22966 34449 43506 65259 68898 99097 103347 130518 198194 206694 297291 310041 470803 594582 620082 891873 941606 1412409 1783746 2675619 2824818 4237227 5351238 8474454 12711681 25423362 27754411 55508822 83263233 166526466 249789699 499579398 749369097 1137930851 1498738194 2275861702 3413792553 6827585106 10241377659 20482755318 30724132977 61448265954