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1943629065136 = 241153457455941
BaseRepresentation
bin11100010010001001010…
…100011110101110110000
320212210211211222122200201
4130102021110132232300
5223321023020041021
64044520232124544
7260264640315133
oct34221124365660
96783754878621
101943629065136
1168a319a34110
12274831536754
1311138b922905
146a101d9421a
153585917d591
hex1c48951ebb0

1943629065136 has 80 divisors (see below), whose sum is σ = 4194805006368. Its totient is φ = 864899942400.

The previous prime is 1943629065107. The next prime is 1943629065179. The reversal of 1943629065136 is 6315609263491.

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, 4034926 + ... + 4490866.

Almost surely, 21943629065136 is an apocalyptic number.

1943629065136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1943629065136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097402503184).

1943629065136 is an abundant number, since it is smaller than the sum of its proper divisors (2251175941232).

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

1943629065136 is a wasteful number, since it uses less digits than its factorization.

1943629065136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456470 (or 456464 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 55.

The spelling of 1943629065136 in words is "one trillion, nine hundred forty-three billion, six hundred twenty-nine million, sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 457 583 848 914 1166 1828 2332 3656 4664 5027 7312 9328 10054 20108 24221 40216 48442 80432 96884 193768 266431 387536 455941 532862 911882 1065724 1823764 2131448 3647528 4262896 5015351 7295056 10030702 20061404 24164873 40122808 48329746 80245616 96659492 193318984 208365037 265813603 386637968 416730074 531627206 833460148 1063254412 1666920296 2126508824 2292015407 3333840592 4253017648 4584030814 9168061628 11043346961 18336123256 22086693922 36672246512 44173387844 88346775688 121476816571 176693551376 242953633142 485907266284 971814532568 1943629065136