Search a number
-
+
98934413910084 = 22321572105592
BaseRepresentation
bin10110011111101011110110…
…100110001110000001000100
3110222022001000102002112021100
4112133223312212032001010
5100431420134430110314
6550225501534420100
726560530001625124
oct2637536646160104
9428261012075240
1098934413910084
112958393848a195
12b11a19b061630
13432862402629c
141a6064608cc84
15b687a01ccc09
hex59faf698e044

98934413910084 has 81 divisors (see below), whose sum is σ = 251711090365917. Its totient is φ = 32764982803488.

The previous prime is 98934413910037. The next prime is 98934413910197. The reversal of 98934413910084 is 48001931443989.

The square root of 98934413910084 is 9946578.

It is a perfect power (a square), and thus also a powerful number.

98934413910084 is a `hidden beast` number, since 9 + 8 + 9 + 3 + 441 + 3 + 9 + 100 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28999194308100 + 69935219601984 = 5385090^2 + 8362728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9369671197 + ... + 9369681755.

Almost surely, 298934413910084 is an apocalyptic number.

98934413910084 is the 9946578-th square number.

It is an amenable number.

98934413910084 is an abundant number, since it is smaller than the sum of its proper divisors (152776676455833).

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

98934413910084 is an equidigital number, since it uses as much as digits as its factorization.

98934413910084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21442 (or 10721 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 98934413910084 in words is "ninety-eight trillion, nine hundred thirty-four billion, four hundred thirteen million, nine hundred ten thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 10559 21118 24649 31677 42236 49298 63354 73947 95031 98596 126708 147894 190062 221841 295788 380124 443682 887364 1657763 3315526 4973289 6631052 9946578 14919867 19893156 29839734 59679468 111492481 222984962 260268791 334477443 445969924 520537582 668954886 780806373 1003432329 1041075164 1337909772 1561612746 2006864658 2342419119 3123225492 4013729316 4684838238 9369676476 17504319517 35008639034 52512958551 70017278068 105025917102 157538875653 210051834204 315077751306 630155502612 2748178164169 5496356328338 8244534492507 10992712656676 16489068985014 24733603477521 32978137970028 49467206955042 98934413910084