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3855697920 = 2113251723107
BaseRepresentation
bin1110010111010001…
…0100100000000000
3100221201011202012200
43211310110200000
530344024313140
61434332553200
7164355614544
oct34564244000
910851152180
103855697920
1116a9493a08
128b7322800
13495a69179
1428810da24
1517876e030
hexe5d14800

3855697920 has 576 divisors, whose sum is σ = 14902392960. Its totient is φ = 916979712.

The previous prime is 3855697919. The next prime is 3855697931. The reversal of 3855697920 is 297965583.

3855697920 is a `hidden beast` number, since 3 + 8 + 5 + 569 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36034507 + ... + 36034613.

It is an arithmetic number, because the mean of its divisors is an integer number (25872210).

Almost surely, 23855697920 is an apocalyptic number.

3855697920 is a gapful number since it is divisible by the number (30) 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 3855697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451196480).

3855697920 is an abundant number, since it is smaller than the sum of its proper divisors (11046695040).

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

3855697920 is a wasteful number, since it uses less digits than its factorization.

3855697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 3855697920 is about 62094.2664019795. The cubic root of 3855697920 is about 1568.0780191639.

The spelling of 3855697920 in words is "three billion, eight hundred fifty-five million, six hundred ninety-seven thousand, nine hundred twenty".