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861630426624 = 2931159864341
BaseRepresentation
bin11001000100111010010…
…11001110111000000000
310001101000111122210121010
430202131023032320000
5103104104342122444
61455454430200520
7116152001533062
oct14423513167000
93041014583533
10861630426624
11302462a05480
1211aba6353140
1363336433836
142d9bb58d732
151762dc542b9
hexc89d2cee00

861630426624 has 160 divisors (see below), whose sum is σ = 2546558974080. Its totient is φ = 256674406400.

The previous prime is 861630426593. The next prime is 861630426659. The reversal of 861630426624 is 426624036168.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 564694 + ... + 1429034.

It is an arithmetic number, because the mean of its divisors is an integer number (15915993588).

Almost surely, 2861630426624 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 861630426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273279487040).

861630426624 is an abundant number, since it is smaller than the sum of its proper divisors (1684928547456).

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

861630426624 is a wasteful number, since it uses less digits than its factorization.

861630426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864432 (or 864416 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 861630426624 in words is "eight hundred sixty-one billion, six hundred thirty million, four hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 118 128 132 176 177 192 236 256 264 352 354 384 472 512 528 649 704 708 768 944 1056 1298 1408 1416 1536 1888 1947 2112 2596 2816 2832 3776 3894 4224 5192 5632 5664 7552 7788 8448 10384 11328 15104 15576 16896 20768 22656 30208 31152 41536 45312 62304 83072 90624 124608 166144 249216 332288 498432 864341 996864 1728682 2593023 3457364 5186046 6914728 9507751 10372092 13829456 19015502 20744184 27658912 28523253 38031004 41488368 50996119 55317824 57046506 76062008 82976736 101992238 110635648 114093012 152124016 152988357 165953472 203984476 221271296 228186024 304248032 305976714 331906944 407968952 442542592 456372048 560957309 608496064 611953428 663813888 815937904 912744096 1121914618 1216992128 1223906856 1327627776 1631875808 1682871927 1825488192 2243829236 2433984256 2447813712 3263751616 3365743854 3650976384 4487658472 4867968512 4895627424 6527503232 6731487708 7301952768 8975316944 9791254848 13055006464 13462975416 14603905536 17950633888 19582509696 26110012928 26925950832 35901267776 39165019392 53851901664 71802535552 78330038784 107703803328 143605071104 215407606656 287210142208 430815213312 861630426624