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38821542816 = 253728252879
BaseRepresentation
bin100100001001111100…
…011011101110100000
310201012112120201011010
4210021330123232200
51114001303332231
625500120220520
72543014445400
oct441174335640
9121175521133
1038821542816
1115511826791
12763530a740
133878b91814
141c43c88800
151023304546
hex909f1bba0

38821542816 has 72 divisors (see below), whose sum is σ = 118544368320. Its totient is φ = 11091868032.

The previous prime is 38821542797. The next prime is 38821542821. The reversal of 38821542816 is 61824512883.

It is a super-2 number, since 2×388215428162 (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 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 11 ways as a sum of consecutive naturals, for example, 4121736 + ... + 4131143.

It is an arithmetic number, because the mean of its divisors is an integer number (1646449560).

Almost surely, 238821542816 is an apocalyptic number.

It is an amenable number.

38821542816 is an abundant number, since it is smaller than the sum of its proper divisors (79722825504).

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

38821542816 is a wasteful number, since it uses less digits than its factorization.

38821542816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252906 (or 8252891 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The spelling of 38821542816 in words is "thirty-eight billion, eight hundred twenty-one million, five hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 8252879 16505758 24758637 33011516 49517274 57770153 66023032 99034548 115540306 132046064 173310459 198069096 231080612 264092128 346620918 396138192 404391071 462161224 693241836 792276384 808782142 924322448 1213173213 1386483672 1617564284 1848644896 2426346426 2772967344 3235128568 4852692852 5545934688 6470257136 9705385704 12940514272 19410771408 38821542816