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138282392064 = 293769117071
BaseRepresentation
bin1000000011001001000…
…1011101101000000000
3111012221010201100121110
42000302101131220000
54231200243021224
6143305343323320
712663523636665
oct2006221355000
9435833640543
10138282392064
1153710894953
12229725b0540
1310069a8c03b
14699b481a6c
1538e5040929
hex203245da00

138282392064 has 80 divisors (see below), whose sum is σ = 368875140480. Its totient is φ = 46033797120.

The previous prime is 138282391997. The next prime is 138282392089. The reversal of 138282392064 is 460293282831.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1122649 + ... + 1239719.

It is an arithmetic number, because the mean of its divisors is an integer number (4610939256).

Almost surely, 2138282392064 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 138282392064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184437570240).

138282392064 is an abundant number, since it is smaller than the sum of its proper divisors (230592748416).

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

138282392064 is an equidigital number, since it uses as much as digits as its factorization.

138282392064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117861 (or 117845 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 138282392064 in words is "one hundred thirty-eight billion, two hundred eighty-two million, three hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 769 1536 1538 2307 3076 4614 6152 9228 12304 18456 24608 36912 49216 73824 98432 117071 147648 196864 234142 295296 351213 393728 468284 590592 702426 936568 1181184 1404852 1873136 2809704 3746272 5619408 7492544 11238816 14985088 22477632 29970176 44955264 59940352 89910528 90027599 179821056 180055198 270082797 360110396 540165594 720220792 1080331188 1440441584 2160662376 2880883168 4321324752 5761766336 8642649504 11523532672 17285299008 23047065344 34570598016 46094130688 69141196032 138282392064