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15107217664 = 28711977901
BaseRepresentation
bin11100001000111010…
…11101100100000000
31102222211220011200011
432010131131210000
5221414421431124
610535024034304
71043241142240
oct160435354400
942884804604
1015107217664
1164526a3260
122b17462994
131569b18b66
14a34573b20
155d6442994
hex38475d900

15107217664 has 144 divisors (see below), whose sum is σ = 37988770176. Its totient is φ = 5824512000.

The previous prime is 15107217611. The next prime is 15107217677. The reversal of 15107217664 is 46671270151.

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, 1908114 + ... + 1916014.

It is an arithmetic number, because the mean of its divisors is an integer number (263810904).

Almost surely, 215107217664 is an apocalyptic number.

15107217664 is a gapful number since it is divisible by the number (14) 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 15107217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18994385088).

15107217664 is an abundant number, since it is smaller than the sum of its proper divisors (22881552512).

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

15107217664 is an equidigital number, since it uses as much as digits as its factorization.

15107217664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8032 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 15107217664 in words is "fifteen billion, one hundred seven million, two hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 97 112 128 154 176 194 224 256 308 352 388 448 616 679 704 776 896 1067 1232 1358 1408 1552 1792 2134 2464 2716 2816 3104 4268 4928 5432 6208 7469 7901 8536 9856 10864 12416 14938 15802 17072 19712 21728 24832 29876 31604 34144 43456 55307 59752 63208 68288 86911 86912 110614 119504 126416 136576 173822 173824 221228 239008 252832 273152 347644 442456 478016 505664 608377 695288 766397 884912 956032 1011328 1216754 1390576 1532794 1769824 1912064 2022656 2433508 2781152 3065588 3539648 4867016 5364779 5562304 6131176 7079296 8430367 9734032 10729558 11124608 12262352 14158592 16860734 19468064 21459116 22249216 24524704 33721468 38936128 42918232 49049408 59012569 67442936 77872256 85836464 98098816 118025138 134885872 155744512 171672928 196197632 236050276 269771744 343345856 472100552 539543488 686691712 944201104 1079086976 1373383424 1888402208 2158173952 3776804416 7553608832 15107217664