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46253060400 = 24352192028643
BaseRepresentation
bin101011000100111001…
…011011000100110000
311102101110021220210010
4223010321123010300
51224211240413100
633125351334520
73225123345411
oct530471330460
9142343256703
1046253060400
1118685712958
128b6a081440
1344916c29c1
14234ac51808
15130a95a750
hexac4e5b130

46253060400 has 120 divisors (see below), whose sum is σ = 155962150720. Its totient is φ = 11684977920.

The previous prime is 46253060389. The next prime is 46253060423. The reversal of 46253060400 is 406035264.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 991522 + ... + 1037121.

Almost surely, 246253060400 is an apocalyptic number.

46253060400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46253060400 is an abundant number, since it is smaller than the sum of its proper divisors (109709090320).

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

46253060400 is a wasteful number, since it uses less digits than its factorization.

46253060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028683 (or 2028672 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 46253060400 its reverse (406035264), we get a palindrome (46659095664).

The spelling of 46253060400 in words is "forty-six billion, two hundred fifty-three million, sixty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 2028643 4057286 6085929 8114572 10143215 12171858 16229144 20286430 24343716 30429645 32458288 38544217 40572860 48687432 50716075 60859290 77088434 81145720 97374864 101432150 115632651 121718580 152148225 154176868 162291440 192721085 202864300 231265302 243437160 304296450 308353736 385442170 405728600 462530604 486874320 578163255 608592900 616707472 770884340 811457200 925061208 963605425 1156326510 1217185800 1541768680 1850122416 1927210850 2312653020 2434371600 2890816275 3083537360 3854421700 4625306040 5781632550 7708843400 9250612080 11563265100 15417686800 23126530200 46253060400