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10369387872 = 253283587739
BaseRepresentation
bin10011010100001000…
…00100110101100000
3222202122211111000200
421222010010311200
5132214030402442
64432535545200
7514651225344
oct115204046540
928678744020
1010369387872
114441281648
12201482b200
13c933a128c
14705239624
1540a52634c
hex26a104d60

10369387872 has 144 divisors (see below), whose sum is σ = 29934515520. Its totient is φ = 3404388096.

The previous prime is 10369387867. The next prime is 10369387877. The reversal of 10369387872 is 27878396301.

It is an interprime number because it is at equal distance from previous prime (10369387867) and next prime (10369387877).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10369387877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14031279 + ... + 14032017.

It is an arithmetic number, because the mean of its divisors is an integer number (207878580).

Almost surely, 210369387872 is an apocalyptic number.

10369387872 is a gapful number since it is divisible by the number (12) 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 10369387872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14967257760).

10369387872 is an abundant number, since it is smaller than the sum of its proper divisors (19565127648).

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

10369387872 is a wasteful number, since it uses less digits than its factorization.

10369387872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 10369387872 in words is "ten billion, three hundred sixty-nine million, three hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 587 664 739 747 996 1174 1328 1478 1494 1761 1992 2217 2348 2656 2956 2988 3522 3984 4434 4696 5283 5912 5976 6651 7044 7968 8868 9392 10566 11824 11952 13302 14088 17736 18784 21132 23648 23904 26604 28176 35472 42264 48721 53208 56352 61337 70944 84528 97442 106416 122674 146163 169056 184011 194884 212832 245348 292326 368022 389768 433793 438489 490696 552033 584652 736044 779536 867586 876978 981392 1104066 1169304 1301379 1472088 1559072 1735172 1753956 1962784 2208132 2338608 2602758 2944176 3470344 3507912 3904137 4416264 4677216 5205516 5888352 6940688 7015824 7808274 8832528 10411032 13881376 14031648 15616548 17665056 20822064 31233096 36004819 41644128 62466192 72009638 108014457 124932384 144019276 216028914 288038552 324043371 432057828 576077104 648086742 864115656 1152154208 1296173484 1728231312 2592346968 3456462624 5184693936 10369387872