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2045037506336 = 251121702731019
BaseRepresentation
bin11101110000100101101…
…110111110111100100000
321020111121011212020001022
4131300211232332330200
5232001214100200321
64203251031025012
7300514635664166
oct35604556767440
97214534766038
102045037506336
117193283a3a00
12290412b0b168
1311ab00177cc6
1470da20c3236
15382e1d78dab
hex1dc25bbef20

2045037506336 has 72 divisors (see below), whose sum is σ = 4425859524240. Its totient is φ = 929477943680.

The previous prime is 2045037506333. The next prime is 2045037506339. The reversal of 2045037506336 is 6336057305402.

It is an interprime number because it is at equal distance from previous prime (2045037506333) and next prime (2045037506339).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2045037506333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65913035 + ... + 65944053.

It is an arithmetic number, because the mean of its divisors is an integer number (61470271170).

Almost surely, 22045037506336 is an apocalyptic number.

It is an amenable number.

2045037506336 is an abundant number, since it is smaller than the sum of its proper divisors (2380822017904).

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

2045037506336 is a wasteful number, since it uses less digits than its factorization.

2045037506336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48078 (or 48059 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 44.

The spelling of 2045037506336 in words is "two trillion, forty-five billion, thirty-seven million, five hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 17027 31019 34054 62038 68108 124076 136216 187297 248152 272432 341209 374594 496304 544864 682418 749188 992608 1364836 1498376 2060267 2729672 2996752 3753299 4120534 5459344 5993504 7506598 8241068 10918688 15013196 16482136 30026392 32964272 60052784 65928544 120105568 528160513 1056321026 2112642052 4225284104 5809765643 8450568208 11619531286 16901136416 23239062572 46478125144 63907422073 92956250288 127814844146 185912500576 255629688292 511259376584 1022518753168 2045037506336