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21934156512 = 2531979531217
BaseRepresentation
bin10100011011011000…
…001010101011100000
32002121121222121012010
4110123120022223200
5324410121002022
614024301032520
71404356153112
oct243330125340
962547877163
1021934156512
119336294484
124301855740
1320b730a348
1410c11213b2
1588597450c
hex51b60aae0

21934156512 has 96 divisors (see below), whose sum is σ = 57977754912. Its totient is φ = 7260667904.

The previous prime is 21934156501. The next prime is 21934156523. The reversal of 21934156512 is 21565143912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21934156501) and next prime (21934156523).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×219341565122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18022528 + ... + 18023744.

It is an arithmetic number, because the mean of its divisors is an integer number (603934947).

Almost surely, 221934156512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21934156512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28988877456).

21934156512 is an abundant number, since it is smaller than the sum of its proper divisors (36043598400).

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

21934156512 is a wasteful number, since it uses less digits than its factorization.

21934156512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2372 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The spelling of 21934156512 in words is "twenty-one billion, nine hundred thirty-four million, one hundred fifty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 394 591 788 953 1182 1217 1576 1906 2364 2434 2859 3152 3651 3812 4728 4868 5718 6304 7302 7624 9456 9736 11436 14604 15248 18912 19472 22872 29208 30496 38944 45744 58416 91488 116832 187741 239749 375482 479498 563223 719247 750964 958996 1126446 1159801 1438494 1501928 1917992 2252892 2319602 2876988 3003856 3479403 3835984 4505784 4639204 5753976 6007712 6958806 7671968 9011568 9278408 11507952 13917612 18023136 18556816 23015904 27835224 37113632 55670448 111340896 228480797 456961594 685442391 913923188 1370884782 1827846376 2741769564 3655692752 5483539128 7311385504 10967078256 21934156512