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46240640000 = 2105472251
BaseRepresentation
bin101011000100001010…
…000010110000000000
311102100120220220012022
4223010022002300000
51224200100440000
633124225221012
73224612645342
oct530412026000
9142316826168
1046240640000
11186796aa265
128b65a91768
13448bc64559
14234933b292
151309805585
hexac4282c00

46240640000 has 110 divisors (see below), whose sum is σ = 115509778164. Its totient is φ = 18496000000.

The previous prime is 46240639997. The next prime is 46240640011. The reversal of 46240640000 is 4604264.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 603875 + ... + 676125.

Almost surely, 246240640000 is an apocalyptic number.

46240640000 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 46240640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57754889082).

46240640000 is an abundant number, since it is smaller than the sum of its proper divisors (69269138164).

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

46240640000 is an frugal number, since it uses more digits than its factorization.

46240640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72291 (or 72258 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The spelling of 46240640000 in words is "forty-six billion, two hundred forty million, six hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3200 4000 5000 5120 6400 8000 10000 12800 16000 20000 25600 32000 40000 64000 72251 80000 128000 144502 160000 289004 320000 361255 578008 640000 722510 1156016 1445020 1806275 2312032 2890040 3612550 4624064 5780080 7225100 9031375 9248128 11560160 14450200 18062750 18496256 23120320 28900400 36125500 36992512 45156875 46240640 57800800 72251000 73985024 90313750 92481280 115601600 144502000 180627500 184962560 231203200 289004000 361255000 369925120 462406400 578008000 722510000 924812800 1156016000 1445020000 1849625600 2312032000 2890040000 4624064000 5780080000 9248128000 11560160000 23120320000 46240640000