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53794168064 = 287133174489
BaseRepresentation
bin110010000110011000…
…011101110100000000
312010212000012212201222
4302012120131310000
51340132301334224
640413535414212
73613032612140
oct620630356400
9163760185658
1053794168064
11208a545073a
12a513684368
1350c3b447a0
1428645c4920
1515eca0cb5e
hexc8661dd00

53794168064 has 144 divisors (see below), whose sum is σ = 136422773760. Its totient is φ = 20594442240.

The previous prime is 53794168031. The next prime is 53794168067. The reversal of 53794168064 is 46086149735.

It is a junction number, because it is equal to n+sod(n) for n = 53794167997 and 53794168015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53794168067) 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, 684932 + ... + 759420.

Almost surely, 253794168064 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 53794168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68211386880).

53794168064 is an abundant number, since it is smaller than the sum of its proper divisors (82628605696).

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

53794168064 is a wasteful number, since it uses less digits than its factorization.

53794168064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74556 (or 74542 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 53794168064 in words is "fifty-three billion, seven hundred ninety-four million, one hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 128 182 208 217 224 248 256 364 403 416 434 448 496 728 806 832 868 896 992 1456 1612 1664 1736 1792 1984 2821 2912 3224 3328 3472 3968 5642 5824 6448 6944 7936 11284 11648 12896 13888 22568 23296 25792 27776 45136 51584 55552 74489 90272 103168 148978 180544 297956 361088 521423 595912 722176 968357 1042846 1191824 1936714 2085692 2309159 2383648 3873428 4171384 4618318 4767296 6778499 7746856 8342768 9236636 9534592 13556998 15493712 16164113 16685536 18473272 19069184 27113996 30019067 30987424 32328226 33371072 36946544 54227992 60038134 61974848 64656452 66742144 73893088 108455984 120076268 123949696 129312904 133484288 147786176 210133469 216911968 240152536 247899392 258625808 295572352 420266938 433823936 480305072 517251616 591144704 840533876 867647872 960610144 1034503232 1681067752 1735295744 1921220288 2069006464 3362135504 3842440576 4138012928 6724271008 7684881152 13448542016 26897084032 53794168064