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38358665386074 = 232116779109333487
BaseRepresentation
bin10001011100011000100101…
…00111111101100001011010
312000211001102100021120201100
420232030102213331201122
520011432021314323244
6213325421055132230
711036215326032115
oct1056142247754132
9160731370246640
1038358665386074
1111249900669430
1243761bb514076
13185328bc550b7
149687d828d57c
15467be48c4b69
hex22e3129fd85a

38358665386074 has 192 divisors, whose sum is σ = 93271999242240. Its totient is φ = 11294726002560.

The previous prime is 38358665386057. The next prime is 38358665386103. The reversal of 38358665386074 is 47068356685383.

38358665386074 is a `hidden beast` number, since 3 + 8 + 3 + 5 + 8 + 6 + 6 + 5 + 3 + 8 + 607 + 4 = 666.

38358665386074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×383586653860742 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 38358665385993 and 38358665386011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1145462559 + ... + 1145496045.

It is an arithmetic number, because the mean of its divisors is an integer number (485791662720).

Almost surely, 238358665386074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38358665386074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46635999621120).

38358665386074 is an abundant number, since it is smaller than the sum of its proper divisors (54913333856166).

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

38358665386074 is a wasteful number, since it uses less digits than its factorization.

38358665386074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34745 (or 34742 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 72.

The spelling of 38358665386074 in words is "thirty-eight trillion, three hundred fifty-eight billion, six hundred sixty-five million, three hundred eighty-six thousand, seventy-four".