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20478862486152 = 233673773185723
BaseRepresentation
bin1001010100000000110110…
…10100101110101010001000
32200111202112010201021000000
410222000123110232222020
510141011202244024102
6111315505355043000
74212356206006410
oct452003324565210
980452463637000
1020478862486152
116586044a99524
122368b35740460
13b571c11a0165
1450b27a093640
15257a7ee5701c
hex12a01b52ea88

20478862486152 has 448 divisors, whose sum is σ = 68499082270080. Its totient is φ = 5614949569536.

The previous prime is 20478862486139. The next prime is 20478862486249. The reversal of 20478862486152 is 25168426887402.

It is a happy number.

20478862486152 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 8 + 8 + 6 + 2 + 4 + 8 + 615 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 20478862486152.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 110172763 + ... + 110358485.

It is an arithmetic number, because the mean of its divisors is an integer number (152899737210).

Almost surely, 220478862486152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20478862486152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34249541135040).

20478862486152 is an abundant number, since it is smaller than the sum of its proper divisors (48020219783928).

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

20478862486152 is a wasteful number, since it uses less digits than its factorization.

20478862486152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185864 (or 185845 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 20478862486152 in words is "twenty trillion, four hundred seventy-eight billion, eight hundred sixty-two million, four hundred eighty-six thousand, one hundred fifty-two".