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23470836480 = 2833571317439
BaseRepresentation
bin10101110110111110…
…001000101100000000
32020120201112000211000
4111312332020230000
5341032013231410
614440553252000
71460425550460
oct256676105400
966521460730
1023470836480
119a54747923
124670404000
1322a07a2c30
1411c9251ba0
15925816dc0
hex576f88b00

23470836480 has 1152 divisors, whose sum is σ = 108786585600. Its totient is φ = 4650172416.

The previous prime is 23470836461. The next prime is 23470836491. The reversal of 23470836480 is 8463807432.

23470836480 is a `hidden beast` number, since 23 + 4 + 70 + 83 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 53464101 + ... + 53464539.

It is an arithmetic number, because the mean of its divisors is an integer number (94432800).

Almost surely, 223470836480 is an apocalyptic number.

23470836480 is a gapful number since it is divisible by the number (20) 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 23470836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54393292800).

23470836480 is an abundant number, since it is smaller than the sum of its proper divisors (85315749120).

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

23470836480 is a wasteful number, since it uses less digits than its factorization.

23470836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 23470836480 in words is "twenty-three billion, four hundred seventy million, eight hundred thirty-six thousand, four hundred eighty".