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38626941312 = 273323347969
BaseRepresentation
bin100011111110010110…
…000101100110000000
310200200222101221002000
4203332112011212000
51113101444110222
625424525224000
72535132404151
oct437626054600
9120628357060
1038626941312
11154219a07a3
1275a0102000
1338477777bb
141c260ad928
1510111b49ac
hex8fe585980

38626941312 has 128 divisors (see below), whose sum is σ = 114494796000. Its totient is φ = 12820119552.

The previous prime is 38626941293. The next prime is 38626941341. The reversal of 38626941312 is 21314962683.

38626941312 is a `hidden beast` number, since 3 + 8 + 626 + 9 + 4 + 1 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781264 + ... + 829232.

Almost surely, 238626941312 is an apocalyptic number.

38626941312 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 38626941312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57247398000).

38626941312 is an abundant number, since it is smaller than the sum of its proper divisors (75867854688).

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

38626941312 is a wasteful number, since it uses less digits than its factorization.

38626941312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48225 (or 48207 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 38626941312 in words is "thirty-eight billion, six hundred twenty-six million, nine hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 233 288 384 432 466 576 699 864 932 1152 1398 1728 1864 2097 2796 3456 3728 4194 5592 6291 7456 8388 11184 12582 14912 16776 22368 25164 29824 33552 44736 47969 50328 67104 89472 95938 100656 134208 143907 191876 201312 268416 287814 383752 402624 431721 575628 767504 805248 863442 1151256 1295163 1535008 1726884 2302512 2590326 3070016 3453768 4605024 5180652 6140032 6907536 9210048 10361304 11176777 13815072 18420096 20722608 22353554 27630144 33530331 41445216 44707108 55260288 67060662 82890432 89414216 100590993 134121324 165780864 178828432 201181986 268242648 301772979 357656864 402363972 536485296 603545958 715313728 804727944 1072970592 1207091916 1430627456 1609455888 2145941184 2414183832 3218911776 4291882368 4828367664 6437823552 9656735328 12875647104 19313470656 38626941312