Search a number
-
+
99795627469440 = 2733572196203233
BaseRepresentation
bin10110101100001101111010…
…111011001110101010000000
3111002100100221212100021111000
4112230031322323032222000
5101040022421113010230
6552125251154052000
730006665452245600
oct2654157273165200
9432310855307430
1099795627469440
11298860a7049061
12b23908987a000
13438b8c1c90ca6
141a901c4126c00
15b80da753ab60
hex5ac37aecea80

99795627469440 has 768 divisors, whose sum is σ = 432787229712000. Its totient is φ = 21609876750336.

The previous prime is 99795627469403. The next prime is 99795627469511. The reversal of 99795627469440 is 4496472659799.

99795627469440 is a `hidden beast` number, since 9 + 9 + 7 + 9 + 562 + 7 + 4 + 6 + 9 + 4 + 40 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 99795627469440.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12986064 + ... + 19189296.

Almost surely, 299795627469440 is an apocalyptic number.

99795627469440 is a gapful number since it is divisible by the number (90) 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 99795627469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216393614856000).

99795627469440 is an abundant number, since it is smaller than the sum of its proper divisors (332991602242560).

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

99795627469440 is a wasteful number, since it uses less digits than its factorization.

99795627469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6203294 (or 6203269 counting only the distinct ones).

The product of its (nonzero) digits is 7407106560, while the sum is 81.

The spelling of 99795627469440 in words is "ninety-nine trillion, seven hundred ninety-five billion, six hundred twenty-seven million, four hundred sixty-nine thousand, four hundred forty".