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38948596470 = 2365717219139
BaseRepresentation
bin100100010001100001…
…000110101011110110
310201112101122201000000
4210101201012223312
51114231320041340
625520455332130
72546116415250
oct442141065366
9121471581000
1038948596470
1115577516003
12766b981046
1338992b81b4
141c56abccd0
15102e54ed30
hex911846af6

38948596470 has 672 divisors, whose sum is σ = 135294163200. Its totient is φ = 7880758272.

The previous prime is 38948596399. The next prime is 38948596471. The reversal of 38948596470 is 7469584983.

38948596470 is a `hidden beast` number, since 3 + 89 + 4 + 85 + 9 + 6 + 470 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 38948596398 and 38948596407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38948596471) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 280205661 + ... + 280205799.

It is an arithmetic number, because the mean of its divisors is an integer number (201330600).

Almost surely, 238948596470 is an apocalyptic number.

38948596470 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38948596470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67647081600).

38948596470 is an abundant number, since it is smaller than the sum of its proper divisors (96345566730).

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

38948596470 is a wasteful number, since it uses less digits than its factorization.

38948596470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 38948596470 in words is "thirty-eight billion, nine hundred forty-eight million, five hundred ninety-six thousand, four hundred seventy".