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38749240832 = 29197735153
BaseRepresentation
bin100100000101101000…
…100111111000000000
310201000111112101110212
4210011220213320000
51113324301201312
625445014413252
72541146053421
oct440550477000
9121014471425
1038749240832
1115484a33185
127615061228
133866bc8293
141c38427648
15101bcc1822
hex905a27e00

38749240832 has 80 divisors (see below), whose sum is σ = 81618950160. Its totient is φ = 18327601152.

The previous prime is 38749240771. The next prime is 38749240861. The reversal of 38749240832 is 23804294783.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7517168 + ... + 7522320.

It is an arithmetic number, because the mean of its divisors is an integer number (1020236877).

Almost surely, 238749240832 is an apocalyptic number.

38749240832 is a gapful number since it is divisible by the number (32) 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 38749240832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40809475080).

38749240832 is an abundant number, since it is smaller than the sum of its proper divisors (42869709328).

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

38749240832 is an equidigital number, since it uses as much as digits as its factorization.

38749240832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5963 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 50.

The spelling of 38749240832 in words is "thirty-eight billion, seven hundred forty-nine million, two hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 773 1216 1546 2432 3092 4864 5153 6184 9728 10306 12368 14687 20612 24736 29374 41224 49472 58748 82448 97907 98944 117496 164896 195814 197888 234992 329792 391628 395776 469984 659584 783256 939968 1319168 1566512 1879936 2638336 3133024 3759872 3983269 6266048 7519744 7966538 12532096 15933076 25064192 31866152 50128384 63732304 75682111 127464608 151364222 254929216 302728444 509858432 605456888 1019716864 1210913776 2039433728 2421827552 4843655104 9687310208 19374620416 38749240832