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38632042848 = 253757488159
BaseRepresentation
bin100011111110101001…
…100011000101100000
310200201100000010001210
4203332221203011200
51113104300332343
625425230430120
72535223642350
oct437651430540
9120640003053
1038632042848
1115424865643
1275a1962340
133848842869
141c26a3ab60
151011871333
hex8fea63160

38632042848 has 48 divisors (see below), whose sum is σ = 115896130560. Its totient is φ = 11037726336.

The previous prime is 38632042837. The next prime is 38632042871. The reversal of 38632042848 is 84824023683.

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

It is a super-2 number, since 2×386320428482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 38632042797 and 38632042806.

It is a congruent number.

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, 28743408 + ... + 28744751.

It is an arithmetic number, because the mean of its divisors is an integer number (2414502720).

Almost surely, 238632042848 is an apocalyptic number.

It is an amenable number.

38632042848 is an abundant number, since it is smaller than the sum of its proper divisors (77264087712).

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

38632042848 is a wasteful number, since it uses less digits than its factorization.

38632042848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57488179 (or 57488171 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 38632042848 in words is "thirty-eight billion, six hundred thirty-two million, forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 57488159 114976318 172464477 229952636 344928954 402417113 459905272 689857908 804834226 919810544 1207251339 1379715816 1609668452 1839621088 2414502678 2759431632 3219336904 4829005356 5518863264 6438673808 9658010712 12877347616 19316021424 38632042848