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138103508802 = 2378999737057
BaseRepresentation
bin1000000010011110011…
…1000100111101000010
3111012110200010010220110
42000213213010331002
54230313444240202
6143235513252150
712656222312310
oct2004747047502
9435420103813
10138103508802
1153629915246
1222922704056
131003b9b955c
1469817d90b0
1538d44a826c
hex20279c4f42

138103508802 has 64 divisors (see below), whose sum is σ = 319540757760. Its totient is φ = 38974611456.

The previous prime is 138103508743. The next prime is 138103508819. The reversal of 138103508802 is 208805301831.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3708258 + ... + 3745314.

It is an arithmetic number, because the mean of its divisors is an integer number (4992824340).

Almost surely, 2138103508802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138103508802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159770378880).

138103508802 is an abundant number, since it is smaller than the sum of its proper divisors (181437248958).

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

138103508802 is a wasteful number, since it uses less digits than its factorization.

138103508802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38155.

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 138103508802 in words is "one hundred thirty-eight billion, one hundred three million, five hundred eight thousand, eight hundred two".

Divisors: 1 2 3 6 7 14 21 42 89 178 267 534 623 997 1246 1869 1994 2991 3738 5982 6979 13958 20937 37057 41874 74114 88733 111171 177466 222342 259399 266199 518798 532398 621131 778197 1242262 1556394 1863393 3298073 3726786 6596146 9894219 19788438 23086511 36945829 46173022 69259533 73891658 110837487 138519066 221674974 258620803 517241606 775862409 1551724818 3288178781 6576357562 9864536343 19729072686 23017251467 46034502934 69051754401 138103508802