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2190742567920 = 243253042698011
BaseRepresentation
bin11111111000010010011…
…011101011101111110000
321202102200121122021000200
4133320102123223233300
5241343120044133140
64354225132115200
7314163433403124
oct37702233535760
97672617567020
102190742567920
117750a8081275
122b46b7305b00
1312b78098aa8a
14780652a7584
153bebd874030
hex1fe126ebbf0

2190742567920 has 60 divisors (see below), whose sum is σ = 7357243793016. Its totient is φ = 584198017920.

The previous prime is 2190742567877. The next prime is 2190742567957. The reversal of 2190742567920 is 297652470912.

2190742567920 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 74 + 2 + 567 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1521348286 + ... + 1521349725.

Almost surely, 22190742567920 is an apocalyptic number.

2190742567920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2190742567920 is an abundant number, since it is smaller than the sum of its proper divisors (5166501225096).

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

2190742567920 is a wasteful number, since it uses less digits than its factorization.

2190742567920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042698030 (or 3042698021 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 2190742567920 in words is "two trillion, one hundred ninety billion, seven hundred forty-two million, five hundred sixty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3042698011 6085396022 9128094033 12170792044 15213490055 18256188066 24341584088 27384282099 30426980110 36512376132 45640470165 48683168176 54768564198 60853960220 73024752264 91280940330 109537128396 121707920440 136921410495 146049504528 182561880660 219074256792 243415840880 273842820990 365123761320 438148513584 547685641980 730247522640 1095371283960 2190742567920