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9380481001920 = 2632572371196247
BaseRepresentation
bin1000100010000001000000…
…1111001110100111000000
31020012202122211221100200100
42020200100033032213000
52212142211114030140
631541200010522400
71655501030632320
oct210402017164700
936182584840610
109380481001920
112a9726aa82356
121076000136400
13530763686112
14246036811280
1511401b6bd530
hex888103ce9c0

9380481001920 has 336 divisors, whose sum is σ = 36889964287488. Its totient is φ = 2143194716160.

The previous prime is 9380481001883. The next prime is 9380481001939. The reversal of 9380481001920 is 291001840839.

9380481001920 is a `hidden beast` number, since 9 + 3 + 80 + 481 + 0 + 0 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47701237 + ... + 47897483.

Almost surely, 29380481001920 is an apocalyptic number.

9380481001920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9380481001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18444982143744).

9380481001920 is an abundant number, since it is smaller than the sum of its proper divisors (27509483285568).

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

9380481001920 is a wasteful number, since it uses less digits than its factorization.

9380481001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198648 (or 198635 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 9380481001920 in words is "nine trillion, three hundred eighty billion, four hundred eighty-one million, one thousand, nine hundred twenty".