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38378936304 = 24321949928111
BaseRepresentation
bin100011101111100100…
…000001011111110000
310200001200201222011100
4203233210001133300
51112100001430204
625344145444400
72526031401402
oct435744013760
9120050658140
1038378936304
11153049aa985
127531040700
133808283187
141c01192b72
15ee9526a39
hex8ef9017f0

38378936304 has 120 divisors (see below), whose sum is σ = 113291360000. Its totient is φ = 12094945920.

The previous prime is 38378936287. The next prime is 38378936341. The reversal of 38378936304 is 40363987383.

38378936304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1351209 + ... + 1379319.

Almost surely, 238378936304 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 38378936304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56645680000).

38378936304 is an abundant number, since it is smaller than the sum of its proper divisors (74912423696).

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

38378936304 is a wasteful number, since it uses less digits than its factorization.

38378936304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28643 (or 28634 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 38378936304 in words is "thirty-eight billion, three hundred seventy-eight million, nine hundred thirty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 499 684 912 998 1368 1497 1996 2736 2994 3992 4491 5988 7984 8982 9481 11976 17964 18962 23952 28111 28443 35928 37924 56222 56886 71856 75848 84333 85329 112444 113772 151696 168666 170658 224888 227544 252999 337332 341316 449776 455088 505998 534109 674664 682632 1011996 1068218 1349328 1365264 1602327 2023992 2136436 3204654 4047984 4272872 4806981 6409308 8545744 9613962 12818616 14027389 19227924 25637232 28054778 38455848 42082167 56109556 76911696 84164334 112219112 126246501 168328668 224438224 252493002 266520391 336657336 504986004 533040782 673314672 799561173 1009972008 1066081564 1599122346 2019944016 2132163128 2398683519 3198244692 4264326256 4797367038 6396489384 9594734076 12792978768 19189468152 38378936304