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38390998923648 = 27337237107173331
BaseRepresentation
bin10001011101010100110011…
…10110100111100110000000
312000221010212201112110212000
420232222121312213212000
520012444231211024043
6213352325331104000
711041441512413400
oct1056523166474600
9160833781473760
1038390998923648
111126159304a808
124380523a42000
131856342905557
1496a1c45b6800
154689882e72d3
hex22ea99da7980

38390998923648 has 1536 divisors, whose sum is σ = 137838237580800. Its totient is φ = 10479788605440.

The previous prime is 38390998923647. The next prime is 38390998923659. The reversal of 38390998923648 is 84632989909383.

38390998923648 is a `hidden beast` number, since 3 + 8 + 3 + 90 + 99 + 89 + 2 + 364 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38390998923643) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115984890843 + ... + 115984891173.

It is an arithmetic number, because the mean of its divisors is an integer number (89738435925).

Almost surely, 238390998923648 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 38390998923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68919118790400).

38390998923648 is an abundant number, since it is smaller than the sum of its proper divisors (99447238657152).

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

38390998923648 is a wasteful number, since it uses less digits than its factorization.

38390998923648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 4353564672, while the sum is 81.

The spelling of 38390998923648 in words is "thirty-eight trillion, three hundred ninety billion, nine hundred ninety-eight million, nine hundred twenty-three thousand, six hundred forty-eight".