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42670799472 = 24375319912041
BaseRepresentation
bin100111101111011000…
…001011101001110000
311002010210122012121110
4213233120023221300
51144342211040342
631334103153320
73040264545120
oct475730135160
9132123565543
1042670799472
1117107610234
12832a445840
1340404b3b92
1420cb19cc80
15119b1eec9c
hex9ef60ba70

42670799472 has 160 divisors (see below), whose sum is σ = 129013171200. Its totient is φ = 11900528640.

The previous prime is 42670799429. The next prime is 42670799477. The reversal of 42670799472 is 27499707624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42670799477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3537772 + ... + 3549812.

It is an arithmetic number, because the mean of its divisors is an integer number (806332320).

Almost surely, 242670799472 is an apocalyptic number.

42670799472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42670799472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64506585600).

42670799472 is an abundant number, since it is smaller than the sum of its proper divisors (86342371728).

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

42670799472 is a wasteful number, since it uses less digits than its factorization.

42670799472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12311 (or 12305 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 57.

The spelling of 42670799472 in words is "forty-two billion, six hundred seventy million, seven hundred ninety-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 199 212 318 336 371 398 424 597 636 742 796 848 1113 1194 1272 1393 1484 1592 2226 2388 2544 2786 2968 3184 4179 4452 4776 5572 5936 8358 8904 9552 10547 11144 12041 16716 17808 21094 22288 24082 31641 33432 36123 42188 48164 63282 66864 72246 73829 84287 84376 96328 126564 144492 147658 168574 168752 192656 221487 252861 253128 288984 295316 337148 442974 505722 506256 577968 590632 638173 674296 885948 1011444 1181264 1276346 1348592 1771896 1914519 2022888 2396159 2552692 3543792 3829038 4045776 4467211 4792318 5105384 7188477 7658076 8934422 9584636 10210768 13401633 14376954 15316152 16773113 17868844 19169272 26803266 28753908 30632304 33546226 35737688 38338544 50319339 53606532 57507816 67092452 71475376 100638678 107213064 115015632 126996427 134184904 201277356 214426128 253992854 268369808 380989281 402554712 507985708 761978562 805109424 888974989 1015971416 1523957124 1777949978 2031942832 2666924967 3047914248 3555899956 5333849934 6095828496 7111799912 10667699868 14223599824 21335399736 42670799472