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12764121952 = 2523149239487
BaseRepresentation
bin10111110001100110…
…10000101101100000
31012221112221120121111
423320303100231200
5202120103400302
65510323233104
7631210150351
oct137063205540
935845846544
1012764121952
11546001781a
122582818794
1312855650aa
148912c7d28
154ea8ac0d7
hex2f8cd0b60

12764121952 has 96 divisors (see below), whose sum is σ = 26562816000. Its totient is φ = 6025840128.

The previous prime is 12764121949. The next prime is 12764122003. The reversal of 12764121952 is 25912146721.

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, 26209453 + ... + 26209939.

It is an arithmetic number, because the mean of its divisors is an integer number (276696000).

Almost surely, 212764121952 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 12764121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13281408000).

12764121952 is an abundant number, since it is smaller than the sum of its proper divisors (13798694048).

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

12764121952 is a wasteful number, since it uses less digits than its factorization.

12764121952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The spelling of 12764121952 in words is "twelve billion, seven hundred sixty-four million, one hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 92 149 184 239 298 368 478 487 596 736 956 974 1192 1912 1948 2384 3427 3824 3896 4768 5497 6854 7648 7792 10994 11201 13708 15584 21988 22402 27416 35611 43976 44804 54832 71222 72563 87952 89608 109664 116393 142444 145126 175904 179216 232786 284888 290252 358432 465572 569776 580504 819053 931144 1139552 1161008 1638106 1668949 1862288 2322016 2677039 3276212 3337898 3724576 5354078 6552424 6675796 10708156 13104848 13351592 17342557 21416312 26209696 26703184 34685114 42832624 53406368 69370228 85665248 138740456 277480912 398878811 554961824 797757622 1595515244 3191030488 6382060976 12764121952