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38506065948 = 22327152801849
BaseRepresentation
bin100011110111001000…
…111111000000011100
310200101112221211020200
4203313020333000130
51112330023102243
625404530343500
72532134105640
oct436710770034
9120345854220
1038506065948
111536a7412a9
12756772ab90
13382870530c
141c14006c20
151005789ad3
hex8f723f01c

38506065948 has 36 divisors (see below), whose sum is σ = 111239746800. Its totient is φ = 11001733056.

The previous prime is 38506065881. The next prime is 38506065967. The reversal of 38506065948 is 84956060583.

It is a happy number.

38506065948 is a `hidden beast` number, since 38 + 506 + 0 + 65 + 9 + 48 = 666.

38506065948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×385060659482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38506065894 and 38506065903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76400673 + ... + 76401176.

Almost surely, 238506065948 is an apocalyptic number.

It is an amenable number.

38506065948 is an abundant number, since it is smaller than the sum of its proper divisors (72733680852).

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

38506065948 is a wasteful number, since it uses less digits than its factorization.

38506065948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152801866 (or 152801861 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 38506065948 in words is "thirty-eight billion, five hundred six million, sixty-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 152801849 305603698 458405547 611207396 916811094 1069612943 1375216641 1833622188 2139225886 2750433282 3208838829 4278451772 5500866564 6417677658 9626516487 12835355316 19253032974 38506065948