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1468978474320 = 24345749165957
BaseRepresentation
bin10101011000000101111…
…100001010110101010000
312012102200122011100120000
4111120011330022311100
5143031431442134240
63042501150450000
7211062441003510
oct25300574126520
95172618140500
101468978474320
11516a99063a65
121b8845b03900
13a86a7518656
14511556ad840
1528328c3b430
hex15605f0ad50

1468978474320 has 400 divisors, whose sum is σ = 5842798144128. Its totient is φ = 335077585920.

The previous prime is 1468978474309. The next prime is 1468978474387. The reversal of 1468978474320 is 234748798641.

1468978474320 is a `hidden beast` number, since 1 + 4 + 68 + 9 + 78 + 474 + 32 + 0 = 666.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22238782 + ... + 22304738.

Almost surely, 21468978474320 is an apocalyptic number.

1468978474320 is a gapful number since it is divisible by the number (10) 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 1468978474320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921399072064).

1468978474320 is an abundant number, since it is smaller than the sum of its proper divisors (4373819669808).

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

1468978474320 is a wasteful number, since it uses less digits than its factorization.

1468978474320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66480 (or 66465 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 1468978474320 in words is "one trillion, four hundred sixty-eight billion, nine hundred seventy-eight million, four hundred seventy-four thousand, three hundred twenty".