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26799691104 = 253411391499
BaseRepresentation
bin11000111101011000…
…101101010101100000
32120011201100100220000
4120331120231111200
5414341210103404
620151150220000
71636056421134
oct307530552540
976151310800
1026799691104
11104027aa64a
12523b1b4600
1326b1348ab4
1414233bd3c4
15a6cbb9339
hex63d62d560

26799691104 has 120 divisors (see below), whose sum is σ = 79515513000. Its totient is φ = 8854078464.

The previous prime is 26799691081. The next prime is 26799691109. The reversal of 26799691104 is 40119699762.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26799691109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 247147 + ... + 338645.

It is an arithmetic number, because the mean of its divisors is an integer number (662629275).

Almost surely, 226799691104 is an apocalyptic number.

26799691104 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 26799691104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39757756500).

26799691104 is an abundant number, since it is smaller than the sum of its proper divisors (52715821896).

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

26799691104 is a wasteful number, since it uses less digits than its factorization.

26799691104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91634 (or 91617 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 26799691104 in words is "twenty-six billion, seven hundred ninety-nine million, six hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 113 144 162 216 226 288 324 339 432 452 648 678 864 904 1017 1296 1356 1808 2034 2592 2712 3051 3616 4068 5424 6102 8136 9153 10848 12204 16272 18306 24408 32544 36612 48816 73224 91499 97632 146448 182998 274497 292896 365996 548994 731992 823491 1097988 1463984 1646982 2195976 2470473 2927968 3293964 4391952 4940946 6587928 7411419 8783904 9881892 10339387 13175856 14822838 19763784 20678774 26351712 29645676 31018161 39527568 41357548 59291352 62036322 79055136 82715096 93054483 118582704 124072644 165430192 186108966 237165408 248145288 279163449 330860384 372217932 496290576 558326898 744435864 837490347 992581152 1116653796 1488871728 1674980694 2233307592 2977743456 3349961388 4466615184 6699922776 8933230368 13399845552 26799691104