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61640292928 = 26172310723021
BaseRepresentation
bin111001011010000011…
…000011101001000000
312220002211002022122011
4321122003003221000
52002214403333203
644152301222304
74311334562554
oct713203035100
9186084068564
1061640292928
112416137a455
12bb43261994
135a7452cc16
142daa675864
15190b76076d
hexe5a0c3a40

61640292928 has 112 divisors (see below), whose sum is σ = 136412532864. Its totient is φ = 27485511680.

The previous prime is 61640292919. The next prime is 61640292953. The reversal of 61640292928 is 82929204616.

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, 2666058 + ... + 2689078.

Almost surely, 261640292928 is an apocalyptic number.

61640292928 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61640292928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68206266432).

61640292928 is an abundant number, since it is smaller than the sum of its proper divisors (74772239936).

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

61640292928 is a wasteful number, since it uses less digits than its factorization.

61640292928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23180 (or 23170 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 61640292928 in words is "sixty-one billion, six hundred forty million, two hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 107 136 184 214 272 368 391 428 544 736 782 856 1088 1472 1564 1712 1819 2461 3128 3424 3638 4922 6256 6848 7276 9844 12512 14552 19688 23021 25024 29104 39376 41837 46042 58208 78752 83674 92084 116416 157504 167348 184168 334696 368336 391357 529483 669392 736672 782714 1058966 1338784 1473344 1565428 2117932 2463247 2677568 3130856 4235864 4926494 6261712 8471728 9001211 9852988 12523424 16943456 18002422 19705976 25046848 33886912 36004844 39411952 41875199 56654681 72009688 78823904 83750398 113309362 144019376 157647808 167500796 226618724 288038752 335001592 453237448 576077504 670003184 906474896 963129577 1340006368 1812949792 1926259154 2680012736 3625899584 3852518308 7705036616 15410073232 30820146464 61640292928