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38435130573114 = 23117923993072749
BaseRepresentation
bin10001011110100111000000…
…10011100000000100111010
312001002100210100000112220210
420233103200103200010322
520014210121411314424
6213424504421331550
711044563236301432
oct1057234023400472
9161070710015823
1038435130573114
111127927a230190
124388b9b566bb6
13185a5569519c2
1496c3ad7a72c2
15469bbc8ab729
hex22f4e04e013a

38435130573114 has 64 divisors (see below), whose sum is σ = 84955392000000. Its totient is φ = 11494781538240.

The previous prime is 38435130573097. The next prime is 38435130573163. The reversal of 38435130573114 is 41137503153483.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10972012 + ... + 14044760.

It is an arithmetic number, because the mean of its divisors is an integer number (1327428000000).

Almost surely, 238435130573114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38435130573114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42477696000000).

38435130573114 is an abundant number, since it is smaller than the sum of its proper divisors (46520261426886).

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

38435130573114 is a wasteful number, since it uses less digits than its factorization.

38435130573114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075243.

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 38435130573114 in words is "thirty-eight trillion, four hundred thirty-five billion, one hundred thirty million, five hundred seventy-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 869 1738 2399 2607 4798 5214 7197 14394 26389 52778 79167 158334 189521 379042 568563 1137126 2084731 3072749 4169462 6145498 6254193 9218247 12508386 18436494 33800239 67600478 101400717 202801434 242747171 485494342 728241513 1456483026 2670218881 5340437762 7371524851 8010656643 14743049702 16021313286 22114574553 44229149106 81086773361 162173546722 243260320083 486520640166 582350463229 1164700926458 1747051389687 3494102779374 6405855095519 12811710191038 19217565286557 38435130573114