Search a number
-
+
12920763232 = 2513174738873
BaseRepresentation
bin11000000100010001…
…10011001101100000
31020100110200210001101
430002020303031200
5202430203410412
65534040444144
7635121450436
oct140210631540
936313623041
1012920763232
115530485723
122607179654
1312abb4ab40
148a8020d56
155094ee457
hex302233360

12920763232 has 96 divisors (see below), whose sum is σ = 29623853952. Its totient is φ = 5493080064.

The previous prime is 12920763197. The next prime is 12920763241. The reversal of 12920763232 is 23236702921.

It is a super-2 number, since 2×129207632322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12920763191 and 12920763200.

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, 312948 + ... + 351820.

It is an arithmetic number, because the mean of its divisors is an integer number (308581812).

Almost surely, 212920763232 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 12920763232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811926976).

12920763232 is an abundant number, since it is smaller than the sum of its proper divisors (16703090720).

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

12920763232 is a wasteful number, since it uses less digits than its factorization.

12920763232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38960 (or 38952 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 12920763232 in words is "twelve billion, nine hundred twenty million, seven hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 47 52 68 94 104 136 188 208 221 272 376 416 442 544 611 752 799 884 1222 1504 1598 1768 2444 3196 3536 4888 6392 7072 9776 10387 12784 19552 20774 25568 38873 41548 77746 83096 155492 166192 310984 332384 505349 621968 660841 1010698 1243936 1321682 1827031 2021396 2643364 3654062 4042792 5286728 7308124 8085584 8590933 10573456 14616248 16171168 17181866 21146912 23751403 29232496 31059527 34363732 47502806 58464992 62119054 68727464 95005612 124238108 137454928 190011224 248476216 274909856 380022448 403773851 496952432 760044896 807547702 993904864 1615095404 3230190808 6460381616 12920763232