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46281344320 = 2657110319777
BaseRepresentation
bin101011000110100101…
…010100010101000000
311102110102111220000201
4223012211110111000
51224241011004240
633132241454544
73225615636001
oct530645242500
9142412456021
1046281344320
111869a680aa2
128b77641454
134497516853
1423508d51a8
15130d195d9a
hexac6954540

46281344320 has 112 divisors (see below), whose sum is σ = 112850419968. Its totient is φ = 18073681920.

The previous prime is 46281344281. The next prime is 46281344327. The reversal of 46281344320 is 2344318264.

It is a self number, because there is not a number n which added to its sum of digits gives 46281344320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46281344327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2330272 + ... + 2350048.

Almost surely, 246281344320 is an apocalyptic number.

46281344320 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 46281344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56425209984).

46281344320 is an abundant number, since it is smaller than the sum of its proper divisors (66569075648).

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

46281344320 is a wasteful number, since it uses less digits than its factorization.

46281344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19968 (or 19958 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 46281344320 in words is "forty-six billion, two hundred eighty-one million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 103 142 160 206 284 320 355 412 515 568 710 824 1030 1136 1420 1648 2060 2272 2840 3296 4120 4544 5680 6592 7313 8240 11360 14626 16480 19777 22720 29252 32960 36565 39554 58504 73130 79108 98885 117008 146260 158216 197770 234016 292520 316432 395540 468032 585040 632864 791080 1170080 1265728 1404167 1582160 2037031 2340160 2808334 3164320 4074062 5616668 6328640 7020835 8148124 10185155 11233336 14041670 16296248 20370310 22466672 28083340 32592496 40740620 44933344 56166680 65184992 81481240 89866688 112333360 130369984 144629201 162962480 224666720 289258402 325924960 449333440 578516804 651849920 723146005 1157033608 1446292010 2314067216 2892584020 4628134432 5785168040 9256268864 11570336080 23140672160 46281344320