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99191313739872 = 25331146431001411
BaseRepresentation
bin10110100011011011000111…
…000001010011000001100000
3111000012121010012110001111000
4112203123013001103001200
5101000122302304133442
6550543505505352000
726615223136302534
oct2643330701230140
9430177105401430
1099191313739872
112967288876a702
12b15bb36338600
134346915717ca3
141a6cc56dc3bc4
15b702d8b25d4c
hex5a36c7053060

99191313739872 has 96 divisors (see below), whose sum is σ = 289310810866560. Its totient is φ = 33063449823360.

The previous prime is 99191313739849. The next prime is 99191313739901. The reversal of 99191313739872 is 27893731319199.

99191313739872 is a `hidden beast` number, since 9 + 9 + 1 + 9 + 131 + 37 + 398 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×991913137398722 (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 99191313739872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98550847 + ... + 99552257.

It is an arithmetic number, because the mean of its divisors is an integer number (3013654279860).

Almost surely, 299191313739872 is an apocalyptic number.

It is an amenable number.

99191313739872 is an abundant number, since it is smaller than the sum of its proper divisors (190119497126688).

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

99191313739872 is a wasteful number, since it uses less digits than its factorization.

99191313739872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116073 (or 1116059 counting only the distinct ones).

The product of its digits is 138883248, while the sum is 72.

The spelling of 99191313739872 in words is "ninety-nine trillion, one hundred ninety-one billion, three hundred thirteen million, seven hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 114643 229286 343929 458572 687858 917144 1001411 1031787 1375716 1834288 2002822 2063574 2751432 3004233 3095361 3668576 4005644 4127148 5502864 6008466 6190722 8011288 8254296 9012699 11005728 12016932 12381444 16022576 16508592 18025398 24033864 24762888 27038097 32045152 33017184 36050796 48067728 49525776 54076194 72101592 96135456 99051552 108152388 144203184 216304776 288406368 432609552 865219104 114804761273 229609522546 344414283819 459219045092 688828567638 918438090184 1033242851457 1377657135276 1836876180368 2066485702914 2755314270552 3099728554371 3673752360736 4132971405828 5510628541104 6199457108742 8265942811656 11021257082208 12398914217484 16531885623312 24797828434968 33063771246624 49595656869936 99191313739872