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90471429480852 = 22337208457574081
BaseRepresentation
bin10100100100100010000101…
…011010101010000110010100
3102212022222120110211020102000
4110210202011122222012110
543324240441421341402
6520230000111315300
725025226235115160
oct2444420532520624
9385288513736360
1090471429480852
11269107993a1762
12a191b7681bb30
133b6355ac74774
14184abaa685ca0
15a6d582100c1c
hex5248856aa194

90471429480852 has 96 divisors (see below), whose sum is σ = 268065247645440. Its totient is φ = 25848810823680.

The previous prime is 90471429480811. The next prime is 90471429480907. The reversal of 90471429480852 is 25808492417409.

90471429480852 is a `hidden beast` number, since 9 + 0 + 4 + 7 + 142 + 9 + 480 + 8 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 90471429480852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157306452 + ... + 157880532.

It is an arithmetic number, because the mean of its divisors is an integer number (2792346329640).

Almost surely, 290471429480852 is an apocalyptic number.

It is an amenable number.

90471429480852 is an abundant number, since it is smaller than the sum of its proper divisors (177593818164588).

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

90471429480852 is a wasteful number, since it uses less digits than its factorization.

90471429480852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782558 (or 782550 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 90471429480852 in words is "ninety trillion, four hundred seventy-one billion, four hundred twenty-nine million, four hundred eighty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 208457 416914 574081 625371 833828 1148162 1250742 1459199 1722243 1876113 2296324 2501484 2918398 3444486 3752226 4018567 4377597 5166729 5628339 5836796 6888972 7504452 8037134 8755194 10333458 11256678 12055701 13132791 15500187 16074268 17510388 20666916 22513356 24111402 26265582 31000374 36167103 39398373 48222804 52531164 62000748 72334206 78796746 108501309 144668412 157593492 217002618 434005236 119671203017 239342406034 359013609051 478684812068 718027218102 837698421119 1077040827153 1436054436204 1675396842238 2154081654306 2513095263357 3231122481459 3350793684476 4308163308612 5026190526714 6462244962918 7539285790071 10052381053428 12924489925836 15078571580142 22617857370213 30157143160284 45235714740426 90471429480852