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4380919064172 = 22337193141239963
BaseRepresentation
bin111111110000000011000…
…111111110011001101100
3120111210220210010002201000
4333300003013332121230
51033234110240023142
613152322203320300
7631340154426450
oct77600307763154
916453823102630
104380919064172
111439a34668512
125a9074b20090
1325a17129bcb1
141120752da660
1578e5767d14c
hex3fc031fe66c

4380919064172 has 384 divisors, whose sum is σ = 14448520396800. Its totient is φ = 1119566707200.

The previous prime is 4380919064167. The next prime is 4380919064201. The reversal of 4380919064172 is 2714609190834.

4380919064172 is a `hidden beast` number, since 4 + 38 + 0 + 9 + 190 + 6 + 417 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18136663 + ... + 18376625.

It is an arithmetic number, because the mean of its divisors is an integer number (37626355200).

Almost surely, 24380919064172 is an apocalyptic number.

4380919064172 is a gapful number since it is divisible by the number (42) 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 4380919064172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224260198400).

4380919064172 is an abundant number, since it is smaller than the sum of its proper divisors (10067601332628).

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

4380919064172 is a wasteful number, since it uses less digits than its factorization.

4380919064172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240074 (or 240066 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 4380919064172 in words is "four trillion, three hundred eighty billion, nine hundred nineteen million, sixty-four thousand, one hundred seventy-two".