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10073437704 = 233211108711701
BaseRepresentation
bin10010110000110110…
…00111011000001000
3222000000221122201100
421120123013120020
5131112300001304
64343324421400
7504425544021
oct113033073010
928000848640
1010073437704
1142aa213930
121b516a7860
13c46c90935
146b7bdbc48
153de567439
hex2586c7608

10073437704 has 96 divisors (see below), whose sum is σ = 29792355840. Its totient is φ = 3049488000.

The previous prime is 10073437697. The next prime is 10073437741. The reversal of 10073437704 is 40773437001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855054 + ... + 866754.

It is an arithmetic number, because the mean of its divisors is an integer number (310337040).

Almost surely, 210073437704 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 10073437704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14896177920).

10073437704 is an abundant number, since it is smaller than the sum of its proper divisors (19718918136).

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

10073437704 is a wasteful number, since it uses less digits than its factorization.

10073437704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12811 (or 12804 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 10073437704 in words is "ten billion, seventy-three million, four hundred thirty-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1087 2174 3261 4348 6522 8696 9783 11701 11957 13044 19566 23402 23914 26088 35103 35871 39132 46804 47828 70206 71742 78264 93608 95656 105309 107613 128711 140412 143484 210618 215226 257422 280824 286968 386133 421236 430452 514844 772266 842472 860904 1029688 1158399 1544532 2316798 3089064 4633596 9267192 12718987 25437974 38156961 50875948 76313922 101751896 114470883 139908857 152627844 228941766 279817714 305255688 419726571 457883532 559635428 839453142 915767064 1119270856 1259179713 1678906284 2518359426 3357812568 5036718852 10073437704