Search a number
-
+
89904621366648 = 233211195974522951
BaseRepresentation
bin10100011100010010001101…
…000001010010110101111000
3102210022210112122100200110100
4110130102031001102311320
543240444131032213043
6515113340214315400
724636252220462404
oct2434221501226570
9383283478320410
1089904621366648
1126712376a53240
12a10014b958b60
133b21c7aa6978a
14182b59a722104
15a5d95b205cd3
hex51c48d052d78

89904621366648 has 96 divisors (see below), whose sum is σ = 279607674153600. Its totient is φ = 25809939144000.

The previous prime is 89904621366641. The next prime is 89904621366653. The reversal of 89904621366648 is 84666312640998.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89904621366641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2987246428 + ... + 2987276523.

It is an arithmetic number, because the mean of its divisors is an integer number (2912579939100).

Almost surely, 289904621366648 is an apocalyptic number.

89904621366648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

89904621366648 is an abundant number, since it is smaller than the sum of its proper divisors (189703052786952).

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

89904621366648 is a wasteful number, since it uses less digits than its factorization.

89904621366648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5974522993 (or 5974522986 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 89904621366648 in words is "eighty-nine trillion, nine hundred four billion, six hundred twenty-one million, three hundred sixty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 7524 15048 5974522951 11949045902 17923568853 23898091804 35847137706 47796183608 53770706559 65719752461 71694275412 107541413118 113515936069 131439504922 143388550824 197159257383 215082826236 227031872138 262879009844 340547808207 394318514766 430165652472 454063744276 525758019688 591477772149 681095616414 788637029532 908127488552 1021643424621 1182955544298 1248675296759 1362191232828 1577274059064 2043286849242 2365911088596 2497350593518 2724382465656 3746025890277 4086573698484 4731822177192 4994701187036 7492051780554 8173147396968 9989402374072 11238077670831 14984103561108 22476155341662 29968207122216 44952310683324 89904621366648