Search a number
-
+
42591944928 = 25313191796219
BaseRepresentation
bin100111101010101011…
…011000000011100000
311001221022020222111210
4213222223120003200
51144212014214203
631322205110120
73035316362361
oct475253300340
9131838228453
1042591944928
1117077051695
128307b58340
13402a064ca0
1420c0913b68
151194325803
hex9eaad80e0

42591944928 has 96 divisors (see below), whose sum is σ = 126741283200. Its totient is φ = 12415458816.

The previous prime is 42591944869. The next prime is 42591944999. The reversal of 42591944928 is 82944919524.

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

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 874398 + ... + 921821.

It is an arithmetic number, because the mean of its divisors is an integer number (1320221700).

Almost surely, 242591944928 is an apocalyptic number.

42591944928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42591944928 is an abundant number, since it is smaller than the sum of its proper divisors (84149338272).

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

42591944928 is a wasteful number, since it uses less digits than its factorization.

42591944928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796264 (or 1796256 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The spelling of 42591944928 in words is "forty-two billion, five hundred ninety-one million, nine hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 1796219 3592438 5388657 7184876 10777314 14369752 21554628 23350847 28739504 34128161 43109256 46701694 57479008 68256322 70052541 86218512 93403388 102384483 136512644 140105082 172437024 186806776 204768966 273025288 280210164 373613552 409537932 443666093 546050576 560420328 747227104 819075864 887332186 1092101152 1120840656 1330998279 1638151728 1774664372 2241681312 2661996558 3276303456 3549328744 5323993116 7098657488 10647986232 14197314976 21295972464 42591944928