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26661132504 = 23341722310853
BaseRepresentation
bin11000110101001000…
…001001100011011000
32112211001121212020000
4120311020021203120
5414100222220004
620125320333000
71632454613166
oct306510114330
975731555200
1026661132504
1110341572506
125200914160
13268b724866
14140cc32236
15a60949c39
hex6352098d8

26661132504 has 160 divisors (see below), whose sum is σ = 79430440320. Its totient is φ = 8326001664.

The previous prime is 26661132503. The next prime is 26661132581. The reversal of 26661132504 is 40523116662.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26661132503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2451142 + ... + 2461994.

It is an arithmetic number, because the mean of its divisors is an integer number (496440252).

Almost surely, 226661132504 is an apocalyptic number.

26661132504 is a gapful number since it is divisible by the number (24) 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 26661132504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39715220160).

26661132504 is an abundant number, since it is smaller than the sum of its proper divisors (52769307816).

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

26661132504 is a wasteful number, since it uses less digits than its factorization.

26661132504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11111 (or 11098 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 26661132504 in words is "twenty-six billion, six hundred sixty-one million, one hundred thirty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 223 306 324 408 446 459 612 648 669 892 918 1224 1338 1377 1784 1836 2007 2676 2754 3672 3791 4014 5352 5508 6021 7582 8028 10853 11016 11373 12042 15164 16056 18063 21706 22746 24084 30328 32559 34119 36126 43412 45492 48168 65118 68238 72252 86824 90984 97677 102357 130236 136476 144504 184501 195354 204714 260472 272952 293031 307071 369002 390708 409428 553503 586062 614142 738004 781416 818856 879093 1107006 1172124 1228284 1476008 1660509 1758186 2214012 2344248 2420219 2456568 3321018 3516372 4428024 4840438 4981527 6642036 7032744 7260657 9680876 9963054 13284072 14521314 14944581 19361752 19926108 21781971 29042628 29889162 39852216 41143723 43563942 58085256 59778324 65345913 82287446 87127884 119556648 123431169 130691826 164574892 174255768 196037739 246862338 261383652 329149784 370293507 392075478 493724676 522767304 740587014 784150956 987449352 1110880521 1481174028 1568301912 2221761042 2962348056 3332641563 4443522084 6665283126 8887044168 13330566252 26661132504