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26414312992 = 255373213349
BaseRepresentation
bin11000100110011010…
…100110111000100000
32112011212012010111121
4120212122212320200
5413044031003432
620045022222024
71623366645604
oct304632467040
975155163447
1026414312992
1110225211341
125152124914
13264c556a02
1413c8143504
15a48e43197
hex6266a6e20

26414312992 has 48 divisors (see below), whose sum is σ = 53710435800. Its totient is φ = 12780398592.

The previous prime is 26414312971. The next prime is 26414313041. The reversal of 26414312992 is 29921341462.

It can be written as a sum of positive squares in 4 ways, for example, as 17719869456 + 8694443536 = 133116^2 + 93244^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17134 + ... + 230482.

Almost surely, 226414312992 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 26414312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26855217900).

26414312992 is an abundant number, since it is smaller than the sum of its proper divisors (27296122808).

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

26414312992 is a wasteful number, since it uses less digits than its factorization.

26414312992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213485 (or 213477 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The spelling of 26414312992 in words is "twenty-six billion, four hundred fourteen million, three hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 53 73 106 146 212 292 424 584 848 1168 1696 2336 3869 7738 15476 30952 61904 123808 213349 426698 853396 1706792 3413584 6827168 11307497 15574477 22614994 31148954 45229988 62297908 90459976 124595816 180919952 249191632 361839904 498383264 825447281 1650894562 3301789124 6603578248 13207156496 26414312992