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5665667190976 = 261361316935227
BaseRepresentation
bin101001001110010010000…
…0101001001000011000000
3202001122002002101010011201
41102130210011021003000
51220311241300102401
620014434354350544
71123221341345422
oct122344405110300
922048062333151
105665667190976
111894883475621
1277606458b454
133213686001a0
14158311018812
159c59c5d9b01
hex527241490c0

5665667190976 has 112 divisors (see below), whose sum is σ = 12310358371360. Its totient is φ = 2571171102720.

The previous prime is 5665667190929. The next prime is 5665667190977. The reversal of 5665667190976 is 6790917665665.

It is a junction number, because it is equal to n+sod(n) for n = 5665667190899 and 5665667190908.

It is not an unprimeable number, because it can be changed into a prime (5665667190977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160815475 + ... + 160850701.

It is an arithmetic number, because the mean of its divisors is an integer number (109913914030).

Almost surely, 25665667190976 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 5665667190976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155179185680).

5665667190976 is an abundant number, since it is smaller than the sum of its proper divisors (6644691180384).

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

5665667190976 is a wasteful number, since it uses less digits than its factorization.

5665667190976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38482 (or 38472 counting only the distinct ones).

The product of its (nonzero) digits is 771573600, while the sum is 73.

The spelling of 5665667190976 in words is "five trillion, six hundred sixty-five billion, six hundred sixty-seven million, one hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 208 244 416 488 793 832 976 1586 1952 3169 3172 3904 6338 6344 12676 12688 25352 25376 35227 41197 50704 50752 70454 82394 101408 140908 164788 193309 202816 281816 329576 386618 457951 563632 659152 773236 915902 1127264 1318304 1546472 1831804 2148847 2254528 2513017 2636608 3092944 3663608 4297694 5026034 6185888 7327216 8595388 10052068 12371776 14654432 17190776 20104136 27935011 29308864 34381552 40208272 55870022 68763104 80416544 111634363 111740044 137526208 160833088 223268726 223480088 446537452 446960176 893074904 893920352 1451246719 1786149808 1787840704 2902493438 3572299616 5804986876 6809696143 7144599232 11609973752 13619392286 23219947504 27238784572 46439895008 54477569144 88526049859 92879790016 108955138288 177052099718 217910276576 354104199436 435820553152 708208398872 1416416797744 2832833595488 5665667190976