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31350513384 = 23322113206069
BaseRepresentation
bin11101001100101000…
…101101111011101000
32222220212112002110100
4131030220231323220
51003201212412014
622222514145400
72156615652441
oct351450557350
988825462410
1031350513384
11123286027a3
1260ab282260
132c58108048
1417359582c8
15c37496009
hex74ca2dee8

31350513384 has 48 divisors (see below), whose sum is σ = 84948236100. Its totient is φ = 10445174784.

The previous prime is 31350513379. The next prime is 31350513391. The reversal of 31350513384 is 48331505313.

31350513384 is a `hidden beast` number, since 3 + 13 + 50 + 513 + 3 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21280390884 + 10070122500 = 145878^2 + 100350^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49102 + ... + 255170.

Almost surely, 231350513384 is an apocalyptic number.

It is an amenable number.

31350513384 is an abundant number, since it is smaller than the sum of its proper divisors (53597722716).

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

31350513384 is a wasteful number, since it uses less digits than its factorization.

31350513384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208194 (or 208187 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 31350513384 in words is "thirty-one billion, three hundred fifty million, five hundred thirteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2113 4226 6339 8452 12678 16904 19017 25356 38034 50712 76068 152136 206069 412138 618207 824276 1236414 1648552 1854621 2472828 3709242 4945656 7418484 14836968 435423797 870847594 1306271391 1741695188 2612542782 3483390376 3918814173 5225085564 7837628346 10450171128 15675256692 31350513384