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840199557376 = 285929712
BaseRepresentation
bin11000011100111111100…
…10111101000100000000
32222022200221200211202001
430032133302331010000
5102231212041314001
61441552104233344
7114462633254524
oct14163762750400
92868627624661
10840199557376
112a4365823193
12116a0516b854
13612cc48c90a
142c94723bd84
1516cc7597001
hexc39fcbd100

840199557376 has 81 divisors (see below), whose sum is σ = 1707783376663. Its totient is φ = 412554129920.

The previous prime is 840199557359. The next prime is 840199557389. The reversal of 840199557376 is 673755991048.

The square root of 840199557376 is 916624.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 865292571 + ... + 865293541.

Almost surely, 2840199557376 is an apocalyptic number.

840199557376 is the 916624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840199557376

840199557376 is an abundant number, since it is smaller than the sum of its proper divisors (867583819287).

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

840199557376 is an frugal number, since it uses more digits than its factorization.

840199557376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 64.

Multiplying 840199557376 by its sum of digits (64), we get a square (53772771672064 = 73329922).

840199557376 divided by its sum of digits (64) gives a square (13128118084 = 1145782).

The spelling of 840199557376 in words is "eight hundred forty billion, one hundred ninety-nine million, five hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 944 971 1888 1942 3481 3776 3884 6962 7552 7768 13924 15104 15536 27848 31072 55696 57289 62144 111392 114578 124288 222784 229156 248576 445568 458312 891136 916624 942841 1833248 1885682 3380051 3666496 3771364 6760102 7332992 7542728 13520204 14665984 15085456 27040408 30170912 54080816 55627619 60341824 108161632 111255238 120683648 216323264 222510476 241367296 432646528 445020952 865293056 890041904 1780083808 3282029521 3560167616 6564059042 7120335232 13128118084 14240670464 26256236168 52512472336 105024944672 210049889344 420099778688 840199557376