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38367407376 = 243454412
BaseRepresentation
bin100011101110111000…
…000010110100010000
310200000220001020110000
4203232320002310100
51112034024014001
625343054410000
72525531403354
oct435670026420
9120026036400
1038367407376
11152a9446041
127529200900
133805a7771c
141bdd831464
15ee84eaa86
hex8eee02d10

38367407376 has 75 divisors (see below), whose sum is σ = 111066821173. Its totient is φ = 12786785280.

The previous prime is 38367407347. The next prime is 38367407383. The reversal of 38367407376 is 67370476383.

It is a happy number.

The square root of 38367407376 is 195876.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27914389776 + 10453017600 = 167076^2 + 102240^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7048816 + ... + 7054256.

Almost surely, 238367407376 is an apocalyptic number.

38367407376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38367407376 is the 195876-th square number.

It is an amenable number.

38367407376 is an abundant number, since it is smaller than the sum of its proper divisors (72699413797).

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

38367407376 is an frugal number, since it uses more digits than its factorization.

38367407376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 38367407376 in words is "thirty-eight billion, three hundred sixty-seven million, four hundred seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 5441 10882 16323 21764 32646 43528 48969 65292 87056 97938 130584 146907 195876 261168 293814 391752 440721 587628 783504 881442 1175256 1762884 2350512 3525768 7051536 29604481 59208962 88813443 118417924 177626886 236835848 266440329 355253772 473671696 532880658 710507544 799320987 1065761316 1421015088 1598641974 2131522632 2397962961 3197283948 4263045264 4795925922 6394567896 9591851844 12789135792 19183703688 38367407376