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10037871424 = 26731739901
BaseRepresentation
bin10010101100100110…
…11100001101000000
3221220120000200221201
421112103130031000
5131024143341144
64340014230544
7503514333160
oct112623341500
927816020851
1010037871424
114291131409
121b417b5454
13c3c7ba1b9
146b31c05a0
153db38e1d4
hex2564dc340

10037871424 has 112 divisors (see below), whose sum is σ = 23823102976. Its totient is φ = 4105728000.

The previous prime is 10037871401. The next prime is 10037871469. The reversal of 10037871424 is 42417873001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 1008874 + ... + 1018774.

Almost surely, 210037871424 is an apocalyptic number.

10037871424 is a gapful number since it is divisible by the number (14) 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 10037871424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11911551488).

10037871424 is an abundant number, since it is smaller than the sum of its proper divisors (13785231552).

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

10037871424 is an equidigital number, since it uses as much as digits as its factorization.

10037871424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10024 (or 10014 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 10037871424 in words is "ten billion, thirty-seven million, eight hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 73 112 124 146 217 224 248 292 434 448 496 511 584 868 992 1022 1168 1736 1984 2044 2263 2336 3472 4088 4526 4672 6944 8176 9052 9901 13888 15841 16352 18104 19802 31682 32704 36208 39604 63364 69307 72416 79208 126728 138614 144832 158416 253456 277228 306931 316832 506912 554456 613862 633664 722773 1013824 1108912 1227724 1445546 2148517 2217824 2455448 2891092 4297034 4435648 4910896 5059411 5782184 8594068 9821792 10118822 11564368 17188136 19643584 20237644 22405963 23128736 34376272 40475288 44811926 46257472 68752544 80950576 89623852 137505088 156841741 161901152 179247704 313683482 323802304 358495408 627366964 716990816 1254733928 1433981632 2509467856 5018935712 10037871424