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31830072320 = 210543144577
BaseRepresentation
bin11101101001001110…
…000101110000000000
310001011021220012122102
4131221032011300000
51010141444303240
622342244525532
72204531102444
oct355116056000
9101137805572
1031830072320
11125542784a2
1262039b08a8
133003584027
14177d50c824
15c64622815
hex769385c00

31830072320 has 88 divisors (see below), whose sum is σ = 78131107824. Its totient is φ = 12435849216.

The previous prime is 31830072311. The next prime is 31830072343. The reversal of 31830072320 is 2327003813.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147872 + ... + 292448.

It is an arithmetic number, because the mean of its divisors is an integer number (887853498).

Almost surely, 231830072320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31830072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39065553912).

31830072320 is an abundant number, since it is smaller than the sum of its proper divisors (46301035504).

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

31830072320 is a wasteful number, since it uses less digits than its factorization.

31830072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144645 (or 144627 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 31830072320 in words is "thirty-one billion, eight hundred thirty million, seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 512 640 688 860 1024 1280 1376 1720 2560 2752 3440 5120 5504 6880 11008 13760 22016 27520 44032 55040 110080 144577 220160 289154 578308 722885 1156616 1445770 2313232 2891540 4626464 5783080 6216811 9252928 11566160 12433622 18505856 23132320 24867244 31084055 37011712 46264640 49734488 62168110 74023424 92529280 99468976 124336220 148046848 185058560 198937952 248672440 370117120 397875904 497344880 740234240 795751808 994689760 1591503616 1989379520 3183007232 3978759040 6366014464 7957518080 15915036160 31830072320