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46650000120 = 23354097611249
BaseRepresentation
bin101011011100100011…
…101000001011111000
311110102010012112201020
4223130203220023320
51231014400000440
633233011222440
73241013313153
oct533443501370
9143363175636
1046650000120
1118869788609
12905aba7a20
134525a02389
14238785ac9a
1513307173d0
hexadc8e82f8

46650000120 has 128 divisors (see below), whose sum is σ = 140589000000. Its totient is φ = 12383354880.

The previous prime is 46650000119. The next prime is 46650000151. The reversal of 46650000120 is 2100005664.

46650000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×466500001202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37349256 + ... + 37350504.

Almost surely, 246650000120 is an apocalyptic number.

46650000120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46650000120 is an abundant number, since it is smaller than the sum of its proper divisors (93938999880).

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

46650000120 is a wasteful number, since it uses less digits than its factorization.

46650000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 46650000120 its reverse (2100005664), we get a palindrome (48750005784).

The spelling of 46650000120 in words is "forty-six billion, six hundred fifty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 409 761 818 1227 1249 1522 1636 2045 2283 2454 2498 3044 3272 3747 3805 4090 4566 4908 4996 6088 6135 6245 7494 7610 8180 9132 9816 9992 11415 12270 12490 14988 15220 16360 18264 18735 22830 24540 24980 29976 30440 37470 45660 49080 49960 74940 91320 149880 311249 510841 622498 933747 950489 1021682 1244996 1532523 1556245 1867494 1900978 2043364 2489992 2554205 2851467 3065046 3112490 3734988 3801956 4086728 4668735 4752445 5108410 5702934 6130092 6224980 7469976 7603912 7662615 9337470 9504890 10216820 11405868 12260184 12449960 14257335 15325230 18674940 19009780 20433640 22811736 28514670 30650460 37349880 38019560 57029340 61300920 114058680 388750001 777500002 1166250003 1555000004 1943750005 2332500006 3110000008 3887500010 4665000012 5831250015 7775000020 9330000024 11662500030 15550000040 23325000060 46650000120