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38358200643 = 3725714814799
BaseRepresentation
bin100011101110010100…
…111011000101000011
310200000020201111011220
4203232110323011003
51112024144410033
625342125210123
72525360216520
oct435624730503
9120006644156
1038358200643
11152a4227974
127526100943
133803ba2c59
141bdc516147
15ee77ccbb3
hex8ee53b143

38358200643 has 32 divisors (see below), whose sum is σ = 58729881600. Its totient is φ = 21814394880.

The previous prime is 38358200609. The next prime is 38358200651. The reversal of 38358200643 is 34600285383.

It is a happy number.

38358200643 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38358200643 - 224 = 38341423427 is a prime.

It is a super-2 number, since 2×383582006432 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38358200595 and 38358200604.

It is not an unprimeable number, because it can be changed into a prime (38358200693) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7990558 + ... + 7995356.

It is an arithmetic number, because the mean of its divisors is an integer number (1835308800).

Almost surely, 238358200643 is an apocalyptic number.

38358200643 is a deficient number, since it is larger than the sum of its proper divisors (20371680957).

38358200643 is a wasteful number, since it uses less digits than its factorization.

38358200643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6547.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 38358200643 in words is "thirty-eight billion, three hundred fifty-eight million, two hundred thousand, six hundred forty-three".

Divisors: 1 3 7 21 257 771 1481 1799 4443 4799 5397 10367 14397 31101 33593 100779 380617 1141851 1233343 2664319 3700029 7107319 7992957 8633401 21321957 25900203 49751233 149253699 1826580983 5479742949 12786066881 38358200643