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2073986336768 = 2113972550853
BaseRepresentation
bin11110001011100011001…
…110000000100000000000
321100021022200012011212012
4132023203032000200000
5232440011000234033
64224435352552052
7302561212663553
oct36134316004000
97307280164765
102073986336768
1172a633244755
12295b519b2628
13120764828378
147254aaa069a
1538e38565248
hex1e2e3380800

2073986336768 has 48 divisors (see below), whose sum is σ = 4157407357740. Its totient is φ = 1034380689408.

The previous prime is 2073986336759. The next prime is 2073986336771. The reversal of 2073986336768 is 8676336893702.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2037721990144 + 36264346624 = 1427488^2 + 190432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2073986336698 and 2073986336707.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 462371 + ... + 2088482.

Almost surely, 22073986336768 is an apocalyptic number.

It is an amenable number.

2073986336768 is an abundant number, since it is smaller than the sum of its proper divisors (2083421020972).

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

2073986336768 is an equidigital number, since it uses as much as digits as its factorization.

2073986336768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551272 (or 2551252 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 68.

The spelling of 2073986336768 in words is "two trillion, seventy-three billion, nine hundred eighty-six million, three hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 397 512 794 1024 1588 2048 3176 6352 12704 25408 50816 101632 203264 406528 813056 2550853 5101706 10203412 20406824 40813648 81627296 163254592 326509184 653018368 1012688641 1306036736 2025377282 2612073472 4050754564 5224146944 8101509128 16203018256 32406036512 64812073024 129624146048 259248292096 518496584192 1036993168384 2073986336768