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10437474720 = 253521744739
BaseRepresentation
bin10011011100001111…
…10011100110100000
3222221101221122121210
421232013303212200
5132333443142340
64443411150120
7516436033311
oct115607634640
928841848553
1010437474720
114476756272
1220335a5340
13ca452005a
147102c0608
154114c5180
hex26e1f39a0

10437474720 has 48 divisors (see below), whose sum is σ = 32878046880. Its totient is φ = 2783326464.

The previous prime is 10437474703. The next prime is 10437474743. The reversal of 10437474720 is 2747473401.

10437474720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 10871890 + ... + 10872849.

It is an arithmetic number, because the mean of its divisors is an integer number (684959310).

Almost surely, 210437474720 is an apocalyptic number.

10437474720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10437474720 is an abundant number, since it is smaller than the sum of its proper divisors (22440572160).

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

10437474720 is a wasteful number, since it uses less digits than its factorization.

10437474720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21744757 (or 21744749 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The spelling of 10437474720 in words is "ten billion, four hundred thirty-seven million, four hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 21744739 43489478 65234217 86978956 108723695 130468434 173957912 217447390 260936868 326171085 347915824 434894780 521873736 652342170 695831648 869789560 1043747472 1304684340 1739579120 2087494944 2609368680 3479158240 5218737360 10437474720