Search a number
-
+
46591695920 = 24571110174887
BaseRepresentation
bin101011011001000101…
…001101110000110000
311110021001111101101102
4223121011031300300
51230404433232140
633223125423532
73236404611110
oct533105156060
9143231441342
1046591695920
1118839885820
12904356aba8
1345168ca253
14237dc01040
15132a54be15
hexad914dc30

46591695920 has 160 divisors (see below), whose sum is σ = 136394413056. Its totient is φ = 14378112000.

The previous prime is 46591695919. The next prime is 46591695929. The reversal of 46591695920 is 2959619564.

It is a happy number.

It is a super-2 number, since 2×465916959202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (46591695929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584717 + ... + 659603.

Almost surely, 246591695920 is an apocalyptic number.

46591695920 is a gapful number since it is divisible by the number (40) 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 46591695920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68197206528).

46591695920 is an abundant number, since it is smaller than the sum of its proper divisors (89802717136).

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

46591695920 is a wasteful number, since it uses less digits than its factorization.

46591695920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75019 (or 75013 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 56.

The spelling of 46591695920 in words is "forty-six billion, five hundred ninety-one million, six hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 101 110 112 140 154 176 202 220 280 308 385 404 440 505 560 616 707 770 808 880 1010 1111 1232 1414 1540 1616 2020 2222 2828 3080 3535 4040 4444 5555 5656 6160 7070 7777 8080 8888 11110 11312 14140 15554 17776 22220 28280 31108 38885 44440 56560 62216 74887 77770 88880 124432 149774 155540 299548 311080 374435 524209 599096 622160 748870 823757 1048418 1198192 1497740 1647514 2096836 2621045 2995480 3295028 4118785 4193672 5242090 5766299 5990960 6590056 7563587 8237570 8387344 10484180 11532598 13180112 15127174 16475140 20968360 23065196 28831495 30254348 32950280 37817935 41936720 46130392 52945109 57662990 60508696 65900560 75635870 83199457 92260784 105890218 115325980 121017392 151271740 166398914 211780436 230651960 264725545 302543480 332797828 415997285 423560872 461303920 529451090 582396199 605086960 665595656 831994570 847121744 1058902180 1164792398 1331191312 1663989140 2117804360 2329584796 2911980995 3327978280 4235608720 4659169592 5823961990 6655956560 9318339184 11647923980 23295847960 46591695920