Search a number
-
+
42646596832 = 2571931210427
BaseRepresentation
bin100111101101111011…
…110110110011100000
311002002010002120211101
4213231323312303200
51144320012044312
631331440324144
73036552043360
oct475573666340
9132063076741
1042646596832
11170a498a454
128322313654
13403848b8a8
1420c7c9c9a0
15119901da57
hex9edef6ce0

42646596832 has 144 divisors (see below), whose sum is σ = 104378440320. Its totient is φ = 16754999040.

The previous prime is 42646596829. The next prime is 42646596869. The reversal of 42646596832 is 23869564624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4084803 + ... + 4095229.

It is an arithmetic number, because the mean of its divisors is an integer number (724850280).

Almost surely, 242646596832 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 42646596832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52189220160).

42646596832 is an abundant number, since it is smaller than the sum of its proper divisors (61731843488).

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

42646596832 is a wasteful number, since it uses less digits than its factorization.

42646596832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10525 (or 10486 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 55.

The spelling of 42646596832 in words is "forty-two billion, six hundred forty-six million, five hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 76 112 124 133 152 217 224 248 266 304 434 496 532 589 608 868 961 992 1064 1178 1736 1922 2128 2356 3472 3844 4123 4256 4712 6727 6944 7688 8246 9424 10427 13454 15376 16492 18259 18848 20854 26908 30752 32984 36518 41708 53816 65968 72989 73036 83416 107632 127813 131936 145978 146072 166832 198113 215264 255626 291956 292144 323237 333664 396226 511252 583912 584288 646474 792452 1022504 1167824 1292948 1386791 1584904 2045008 2262659 2335648 2585896 2773582 3169808 4090016 4525318 5171792 5547164 6141503 6339616 9050636 10020347 10343584 11094328 12283006 18101272 20040694 22188656 24566012 36202544 40081388 42990521 44377312 49132024 70142429 72405088 80162776 85981042 98264048 140284858 160325552 171962084 190386593 196528096 280569716 320651104 343924168 380773186 561139432 687848336 761546372 1122278864 1332706151 1375696672 1523092744 2244557728 2665412302 3046185488 5330824604 6092370976 10661649208 21323298416 42646596832