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38799544576 = 281329472
BaseRepresentation
bin100100001000101000…
…100001000100000000
310201011000012002020111
4210020220201010000
51113430140411301
625454012521104
72542326454522
oct441050410400
9121130162214
1038799544576
1115500371121
127629a80194
13387445ba00
141c40d9da12
15102140b551
hex908a21100

38799544576 has 81 divisors (see below), whose sum is σ = 83951950341. Its totient is φ = 17888572416.

The previous prime is 38799544559. The next prime is 38799544631. The reversal of 38799544576 is 67544599783.

The square root of 38799544576 is 196976.

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., 5739577600 + 33059966976 = 75760^2 + 181824^2 .

It is a super-2 number, since 2×387995445762 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40970535 + ... + 40971481.

Almost surely, 238799544576 is an apocalyptic number.

38799544576 is the 196976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38799544576

38799544576 is an abundant number, since it is smaller than the sum of its proper divisors (45152405765).

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

38799544576 is an frugal number, since it uses more digits than its factorization.

38799544576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 962 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 67.

The spelling of 38799544576 in words is "thirty-eight billion, seven hundred ninety-nine million, five hundred forty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 947 1352 1664 1894 2704 3328 3788 5408 7576 10816 12311 15152 21632 24622 30304 43264 49244 60608 98488 121216 160043 196976 242432 320086 393952 640172 787904 896809 1280344 1575808 1793618 2560688 3151616 3587236 5121376 7174472 10242752 11658517 14348944 20485504 23317034 28697888 40971008 46634068 57395776 93268136 114791552 151560721 186536272 229583104 303121442 373072544 606242884 746145088 1212485768 1492290176 2424971536 2984580352 4849943072 9699886144 19399772288 38799544576