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11476768816 = 2417192578641
BaseRepresentation
bin10101011000001000…
…11001100000110000
31002121211120021002201
422230010121200300
5142001023100231
65134454552544
7554255632252
oct125404314060
932554507081
1011476768816
11495a378307
122283668754
13110b937686
147ac339cd2
15472869161
hex2ac119830

11476768816 has 80 divisors (see below), whose sum is σ = 24882737760. Its totient is φ = 5096079360.

The previous prime is 11476768789. The next prime is 11476768847. The reversal of 11476768816 is 61886767411.

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, 1323856 + ... + 1332496.

It is an arithmetic number, because the mean of its divisors is an integer number (311034222).

Almost surely, 211476768816 is an apocalyptic number.

11476768816 is a gapful number since it is divisible by the number (16) 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 11476768816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441368880).

11476768816 is an abundant number, since it is smaller than the sum of its proper divisors (13405968944).

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

11476768816 is a wasteful number, since it uses less digits than its factorization.

11476768816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8942 (or 8936 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 55.

The spelling of 11476768816 in words is "eleven billion, four hundred seventy-six million, seven hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 257 272 304 323 514 646 1028 1292 2056 2584 4112 4369 4883 5168 8641 8738 9766 17282 17476 19532 34564 34952 39064 69128 69904 78128 83011 138256 146897 164179 166022 293794 328358 332044 587588 656716 664088 1175176 1313432 1328176 2220737 2350352 2626864 2791043 4441474 5582086 8882948 11164172 17765896 22328344 35531792 37752529 42194003 44656688 75505058 84388006 151010116 168776012 302020232 337552024 604040464 675104048 717298051 1434596102 2869192204 5738384408 11476768816