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54629010464 = 2572331342047
BaseRepresentation
bin110010111000001001…
…001000110000100000
312020000012010021012212
4302320021020300200
51343340011313324
641032441141252
73642520633040
oct627011106040
9166005107185
1054629010464
112119371a136
12a70718a828
1351c7aa6782
14290341d720
15164ae6870e
hexcb8248c20

54629010464 has 96 divisors (see below), whose sum is σ = 132397203456. Its totient is φ = 21672034560.

The previous prime is 54629010461. The next prime is 54629010473. The reversal of 54629010464 is 46401092645.

It is not an unprimeable number, because it can be changed into a prime (54629010461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11312 + ... + 330735.

It is an arithmetic number, because the mean of its divisors is an integer number (1379137536).

Almost surely, 254629010464 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 54629010464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66198601728).

54629010464 is an abundant number, since it is smaller than the sum of its proper divisors (77768192992).

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

54629010464 is a wasteful number, since it uses less digits than its factorization.

54629010464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342118 (or 342110 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 54629010464 in words is "fifty-four billion, six hundred twenty-nine million, ten thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 92 112 124 161 184 217 224 248 322 368 434 496 644 713 736 868 992 1288 1426 1736 2576 2852 3472 4991 5152 5704 6944 9982 11408 19964 22816 39928 79856 159712 342047 684094 1368188 2394329 2736376 4788658 5472752 7867081 9577316 10603457 10945504 15734162 19154632 21206914 31468324 38309264 42413828 55069567 62936648 74224199 76618528 84827656 110139134 125873296 148448398 169655312 220278268 243879511 251746592 296896796 339310624 440556536 487759022 593793592 881113072 975518044 1187587184 1707156577 1762226144 1951036088 2375174368 3414313154 3902072176 6828626308 7804144352 13657252616 27314505232 54629010464