Search a number
-
+
12951704064 = 293132328201
BaseRepresentation
bin11000000111111101…
…10101001000000000
31020102121220201220010
430003332311020000
5203011114012224
65541103544520
7635645445105
oct140376651000
936377821803
1012951704064
115546998a62
1226155bb140
1312b5392120
148ac196aac
1550c0b1e29
hex303fb5200

12951704064 has 160 divisors (see below), whose sum is σ = 38775268224. Its totient is φ = 3811737600.

The previous prime is 12951704047. The next prime is 12951704069. The reversal of 12951704064 is 46040715921.

It is a super-2 number, since 2×129517040642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12951704069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445164 + ... + 473364.

Almost surely, 212951704064 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 12951704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19387634112).

12951704064 is an abundant number, since it is smaller than the sum of its proper divisors (25823564160).

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

12951704064 is a wasteful number, since it uses less digits than its factorization.

12951704064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28258 (or 28242 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 12951704064 in words is "twelve billion, nine hundred fifty-one million, seven hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 128 138 156 184 192 208 256 276 299 312 368 384 416 512 552 598 624 736 768 832 897 1104 1196 1248 1472 1536 1664 1794 2208 2392 2496 2944 3328 3588 4416 4784 4992 5888 6656 7176 8832 9568 9984 11776 14352 17664 19136 19968 28201 28704 35328 38272 56402 57408 76544 84603 112804 114816 153088 169206 225608 229632 338412 366613 451216 459264 648623 676824 733226 902432 1099839 1297246 1353648 1466452 1804864 1945869 2199678 2594492 2707296 2932904 3609728 3891738 4399356 5188984 5414592 5865808 7219456 7783476 8432099 8798712 10377968 10829184 11731616 14438912 15566952 16864198 17597424 20755936 21658368 23463232 25296297 31133904 33728396 35194848 41511872 43316736 46926464 50592594 62267808 67456792 70389696 83023744 93852928 101185188 124535616 134913584 140779392 166047488 187705856 202370376 249071232 269827168 281558784 332094976 404740752 498142464 539654336 563117568 809481504 996284928 1079308672 1618963008 2158617344 3237926016 4317234688 6475852032 12951704064