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38237489904 = 24317160129269
BaseRepresentation
bin100011100111001000…
…011100101011110000
310122200211120202011210
4203213020130223300
51111302244134104
625322134040120
72522363205255
oct434710345360
9118624522153
1038237489904
1115242080129
1274b17a9040
1337b4b8a693
141bca49342c
15edbdd6989
hex8e721caf0

38237489904 has 80 divisors (see below), whose sum is σ = 104659685280. Its totient is φ = 11988172800.

The previous prime is 38237489833. The next prime is 38237489923. The reversal of 38237489904 is 40998473283.

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 15 ways as a sum of consecutive naturals, for example, 1291782 + ... + 1321050.

It is an arithmetic number, because the mean of its divisors is an integer number (1308246066).

Almost surely, 238237489904 is an apocalyptic number.

38237489904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38237489904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52329842640).

38237489904 is an abundant number, since it is smaller than the sum of its proper divisors (66422195376).

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

38237489904 is a wasteful number, since it uses less digits than its factorization.

38237489904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30898 (or 30892 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 38237489904 in words is "thirty-eight billion, two hundred thirty-seven million, four hundred eighty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1601 3202 4803 6404 9606 12808 19212 25616 27217 29269 38424 54434 58538 76848 81651 87807 108868 117076 163302 175614 217736 234152 326604 351228 435472 468304 497573 653208 702456 995146 1306416 1404912 1492719 1990292 2985438 3980584 5970876 7961168 11941752 23883504 46859669 93719338 140579007 187438676 281158014 374877352 562316028 749754704 796614373 1124632056 1593228746 2249264112 2389843119 3186457492 4779686238 6372914984 9559372476 12745829968 19118744952 38237489904