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38117680440 = 2335745378191
BaseRepresentation
bin100011011111111111…
…011010010100111000
310122101111010210111020
4203133333122110320
51111031111233230
625302214102440
72516406636450
oct433777322470
9118344123436
1038117680440
1115190489544
12747964aa20
1337960cc3c8
141bb85c6d60
15ed161c810
hex8dffda538

38117680440 has 64 divisors (see below), whose sum is σ = 130689192960. Its totient is φ = 8712612480.

The previous prime is 38117680439. The next prime is 38117680451. The reversal of 38117680440 is 4408671183.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 38117680392 and 38117680401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22688256 + ... + 22689935.

It is an arithmetic number, because the mean of its divisors is an integer number (2042018640).

Almost surely, 238117680440 is an apocalyptic number.

38117680440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38117680440 is an abundant number, since it is smaller than the sum of its proper divisors (92571512520).

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

38117680440 is a wasteful number, since it uses less digits than its factorization.

38117680440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45378212 (or 45378208 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 38117680440 in words is "thirty-eight billion, one hundred seventeen million, six hundred eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 45378191 90756382 136134573 181512764 226890955 272269146 317647337 363025528 453781910 544538292 635294674 680672865 907563820 952942011 1089076584 1270589348 1361345730 1588236685 1815127640 1905884022 2541178696 2722691460 3176473370 3811768044 4764710055 5445382920 6352946740 7623536088 9529420110 12705893480 19058840220 38117680440