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38004601344 = 29319268539
BaseRepresentation
bin100011011001010000…
…000011001000000000
310122002121100210010120
4203121100003020000
51110313134220334
625243054300240
72513534532003
oct433120031000
9118077323116
1038004601344
1115132674546
1274477b7680
1337788596b8
141ba758d53a
15ec6732949
hex8d9403200

38004601344 has 120 divisors (see below), whose sum is σ = 106857424080. Its totient is φ = 12001277952.

The previous prime is 38004601307. The next prime is 38004601357. The reversal of 38004601344 is 44310640083.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 520227 + ... + 588765.

It is an arithmetic number, because the mean of its divisors is an integer number (890478534).

Almost surely, 238004601344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38004601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53428712040).

38004601344 is an abundant number, since it is smaller than the sum of its proper divisors (68852822736).

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

38004601344 is an equidigital number, since it uses as much as digits as its factorization.

38004601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68598 (or 68563 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 38004601344 in words is "thirty-eight billion, four million, six hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 361 384 456 512 608 722 768 912 1083 1216 1444 1536 1824 2166 2432 2888 3648 4332 4864 5776 7296 8664 9728 11552 14592 17328 23104 29184 34656 46208 68539 69312 92416 137078 138624 184832 205617 274156 277248 411234 548312 554496 822468 1096624 1302241 1644936 2193248 2604482 3289872 3906723 4386496 5208964 6579744 7813446 8772992 10417928 13159488 15626892 17545984 20835856 24742579 26318976 31253784 35091968 41671712 49485158 52637952 62507568 74227737 83343424 98970316 105275904 125015136 148455474 166686848 197940632 250030272 296910948 333373696 395881264 500060544 593821896 666747392 791762528 1000121088 1187643792 1583525056 2000242176 2375287584 3167050112 4750575168 6334100224 9501150336 12668200448 19002300672 38004601344