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10364539872 = 2531726923609
BaseRepresentation
bin10011010011100011…
…00101001111100000
3222202022201011211010
421221301211033200
5132211310233442
64432244020520
7514562064261
oct115161451740
928668634733
1010364539872
114439570235
122013091740
13c9239473b
14704736968
15409db9b9c
hex269c653e0

10364539872 has 96 divisors (see below), whose sum is σ = 28915639200. Its totient is φ = 3239395328.

The previous prime is 10364539837. The next prime is 10364539891. The reversal of 10364539872 is 27893546301.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427204 + ... + 450812.

It is an arithmetic number, because the mean of its divisors is an integer number (301204575).

It is a 1-persistent number, because it is pandigital, but 2⋅10364539872 = 20729079744 is not.

Almost surely, 210364539872 is an apocalyptic number.

10364539872 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 10364539872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14457819600).

10364539872 is an abundant number, since it is smaller than the sum of its proper divisors (18551099328).

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

10364539872 is a wasteful number, since it uses less digits than its factorization.

10364539872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23908 (or 23900 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 10364539872 in words is "ten billion, three hundred sixty-four million, five hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 269 272 408 538 544 807 816 1076 1614 1632 2152 3228 4304 4573 6456 8608 9146 12912 13719 18292 23609 25824 27438 36584 47218 54876 70827 73168 94436 109752 141654 146336 188872 219504 283308 377744 401353 439008 566616 755488 802706 1133232 1204059 1605412 2266464 2408118 3210824 4816236 6350821 6421648 9632472 12701642 12843296 19052463 19264944 25403284 38104926 38529888 50806568 76209852 101613136 107963957 152419704 203226272 215927914 304839408 323891871 431855828 609678816 647783742 863711656 1295567484 1727423312 2591134968 3454846624 5182269936 10364539872