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38134484432 = 24111929338921
BaseRepresentation
bin100011100000111111…
…100000110111010000
310122102122202112020022
4203200333200313100
51111044412000212
625304014203012
72520002524622
oct434077406720
9118378675208
1038134484432
1115199a16640
1274831b3468
133799733bb5
141bba91cc12
15ed2d3b772
hex8e0fe0dd0

38134484432 has 80 divisors (see below), whose sum is σ = 85136425920. Its totient is φ = 16365081600.

The previous prime is 38134484363. The next prime is 38134484501. The reversal of 38134484432 is 23448443183.

It is an interprime number because it is at equal distance from previous prime (38134484363) and next prime (38134484501).

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 960332 + ... + 999252.

It is an arithmetic number, because the mean of its divisors is an integer number (1064205324).

Almost surely, 238134484432 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 38134484432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42568212960).

38134484432 is an abundant number, since it is smaller than the sum of its proper divisors (47001941488).

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

38134484432 is a wasteful number, since it uses less digits than its factorization.

38134484432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39252 (or 39246 counting only the distinct ones).

The product of its digits is 884736, while the sum is 44.

The spelling of 38134484432 in words is "thirty-eight billion, one hundred thirty-four million, four hundred eighty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 293 304 418 586 836 1172 1672 2344 3223 3344 4688 5567 6446 11134 12892 22268 25784 38921 44536 51568 61237 77842 89072 122474 155684 244948 311368 428131 489896 622736 739499 856262 979792 1478998 1712524 2957996 3425048 5915992 6850096 8134489 11403853 11831984 16268978 22807706 32537956 45615412 65075912 91230824 125442383 130151824 182461648 216673207 250884766 433346414 501769532 866692828 1003539064 1733385656 2007078128 2383405277 3466771312 4766810554 9533621108 19067242216 38134484432