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20378154420 = 223351329313229
BaseRepresentation
bin10010111110101000…
…011111010110110100
31221121012002111121000
4102332220133112310
5313213301420140
613210034323300
71320663311631
oct227650372664
957535074530
1020378154420
118707a34038
123b48729530
131bc9b3aa50
14db4601188
157e4066a30
hex4bea1f5b4

20378154420 has 384 divisors, whose sum is σ = 72930816000. Its totient is φ = 4685506560.

The previous prime is 20378154409. The next prime is 20378154421. The reversal of 20378154420 is 2445187302.

It is a happy number.

20378154420 is a `hidden beast` number, since 2 + 0 + 37 + 81 + 544 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20378154421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6309366 + ... + 6312594.

It is an arithmetic number, because the mean of its divisors is an integer number (189924000).

Almost surely, 220378154420 is an apocalyptic number.

20378154420 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 20378154420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36465408000).

20378154420 is an abundant number, since it is smaller than the sum of its proper divisors (52552661580).

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

20378154420 is a wasteful number, since it uses less digits than its factorization.

20378154420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 20378154420 in words is "twenty billion, three hundred seventy-eight million, one hundred fifty-four thousand, four hundred twenty".