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1994102656 = 2771331013
BaseRepresentation
bin111011011011011…
…1001011110000000
312010222020220120221
41312312321132000
513040442241111
6525512312424
7100262410240
oct16666713600
95128226527
101994102656
11933689927
124779a2714
1325a191000
1414cba1b20
15ba0ea371
hex76db9780

1994102656 has 128 divisors (see below), whose sum is σ = 4923172800. Its totient is φ = 788097024.

The previous prime is 1994102647. The next prime is 1994102681. The reversal of 1994102656 is 6562014991.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968006 + ... + 1969018.

Almost surely, 21994102656 is an apocalyptic number.

1994102656 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 1994102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461586400).

1994102656 is an abundant number, since it is smaller than the sum of its proper divisors (2929070144).

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

1994102656 is an equidigital number, since it uses as much as digits as its factorization.

1994102656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 1994102656 is about 44655.3765631867. The cubic root of 1994102656 is about 1258.6814660793.

The spelling of 1994102656 in words is "one billion, nine hundred ninety-four million, one hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 338 364 416 448 676 728 832 896 1013 1183 1352 1456 1664 2026 2197 2366 2704 2912 4052 4394 4732 5408 5824 7091 8104 8788 9464 10816 11648 13169 14182 15379 16208 17576 18928 21632 26338 28364 30758 32416 35152 37856 52676 56728 61516 64832 70304 75712 92183 105352 113456 123032 129664 140608 151424 171197 184366 210704 226912 246064 281216 342394 368732 421408 453824 492128 684788 737464 842816 907648 984256 1198379 1369576 1474928 1685632 1968512 2225561 2396758 2739152 2949856 4451122 4793516 5478304 5899712 8902244 9587032 10956608 11799424 15578927 17804488 19174064 21913216 31157854 35608976 38348128 62315708 71217952 76696256 124631416 142435904 153392512 249262832 284871808 498525664 997051328 1994102656