Search a number
-
+
10315378464 = 2531931182431
BaseRepresentation
bin10011001101101100…
…00010111100100000
3222121220012112001020
421212312002330200
5132111214102324
64423330205440
7513424161456
oct114666027440
928556175036
1010315378464
114413842576
121bba723880
13c85140c51
146dbdba9d6
15405908679
hex266d82f20

10315378464 has 96 divisors (see below), whose sum is σ = 29422632960. Its totient is φ = 3152390400.

The previous prime is 10315378459. The next prime is 10315378487. The reversal of 10315378464 is 46487351301.

It is a happy number.

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

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, 34672 + ... + 147759.

It is an arithmetic number, because the mean of its divisors is an integer number (306485760).

Almost surely, 210315378464 is an apocalyptic number.

It is an amenable number.

10315378464 is an abundant number, since it is smaller than the sum of its proper divisors (19107254496).

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

10315378464 is a wasteful number, since it uses less digits than its factorization.

10315378464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182494 (or 182486 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 10315378464 in words is "ten billion, three hundred fifteen million, three hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 912 992 1178 1488 1767 1824 2356 2976 3534 4712 7068 9424 14136 18848 28272 56544 182431 364862 547293 729724 1094586 1459448 2189172 2918896 3466189 4378344 5655361 5837792 6932378 8756688 10398567 11310722 13864756 16966083 17513376 20797134 22621444 27729512 33932166 41594268 45242888 55459024 67864332 83188536 90485776 107451859 110918048 135728664 166377072 180971552 214903718 271457328 322355577 332754144 429807436 542914656 644711154 859614872 1289422308 1719229744 2578844616 3438459488 5157689232 10315378464