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46300009008 = 24311653134287
BaseRepresentation
bin101011000111101100…
…100001001000110000
311102111201122011011110
4223013230201020300
51224310300242013
633134145513320
73226233404001
oct530754411060
9142451564143
1046300009008
11186aa16a060
128b81942840
13449b350246
1423531931a8
15130eb312c3
hexac7b21230

46300009008 has 80 divisors (see below), whose sum is σ = 130682635776. Its totient is φ = 14008715520.

The previous prime is 46300008967. The next prime is 46300009061. The reversal of 46300009008 is 80090000364.

It is a super-2 number, since 2×463000090082 (a number of 22 digits) contains 22 as substring.

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, 277641 + ... + 411927.

Almost surely, 246300009008 is an apocalyptic number.

46300009008 is a gapful number since it is divisible by the number (48) 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 46300009008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65341317888).

46300009008 is an abundant number, since it is smaller than the sum of its proper divisors (84382626768).

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

46300009008 is a wasteful number, since it uses less digits than its factorization.

46300009008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134962 (or 134956 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 46300009008 in words is "forty-six billion, three hundred million, nine thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 653 1306 1959 2612 3918 5224 7183 7836 10448 14366 15672 21549 28732 31344 43098 57464 86196 114928 134287 172392 268574 344784 402861 537148 805722 1074296 1477157 1611444 2148592 2954314 3222888 4431471 5908628 6445776 8862942 11817256 17725884 23634512 35451768 70903536 87689411 175378822 263068233 350757644 526136466 701515288 964583521 1052272932 1403030576 1929167042 2104545864 2893750563 3858334084 4209091728 5787501126 7716668168 11575002252 15433336336 23150004504 46300009008