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38225420784 = 2432269986819
BaseRepresentation
bin100011100110011010…
…011010000111110000
310122122222212120110100
4203212122122013300
51111241201431114
625321023232400
72522155500315
oct434632320760
9118588776410
1038225420784
1115236287451
1274a9748700
1337b25230a5
141bc8a30d0c
15edad00909
hex8e669a1f0

38225420784 has 60 divisors (see below), whose sum is σ = 107375884200. Its totient is φ = 12694426752.

The previous prime is 38225420777. The next prime is 38225420801. The reversal of 38225420784 is 48702452283.

38225420784 is a `hidden beast` number, since 3 + 8 + 22 + 542 + 0 + 7 + 84 = 666.

It is a super-2 number, since 2×382254207842 (a number of 22 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 454674 + ... + 532145.

It is an arithmetic number, because the mean of its divisors is an integer number (1789598070).

Almost surely, 238225420784 is an apocalyptic number.

It is an amenable number.

38225420784 is an abundant number, since it is smaller than the sum of its proper divisors (69150463416).

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

38225420784 is a wasteful number, since it uses less digits than its factorization.

38225420784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987102 (or 987093 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 38225420784 in words is "thirty-eight billion, two hundred twenty-five million, four hundred twenty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 269 538 807 1076 1614 2152 2421 3228 4304 4842 6456 9684 12912 19368 38736 986819 1973638 2960457 3947276 5920914 7894552 8881371 11841828 15789104 17762742 23683656 35525484 47367312 71050968 142101936 265454311 530908622 796362933 1061817244 1592725866 2123634488 2389088799 3185451732 4247268976 4778177598 6370903464 9556355196 12741806928 19112710392 38225420784