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20678889929400 = 23345267167114083
BaseRepresentation
bin1001011001110101011011…
…11000110111101010111000
32201012212211101122012120000
410230322231320313222320
510202300331310220100
6111551430105233000
74233000112143033
oct454725570675270
981185741565500
1020678889929400
1166529602a419a
12239b85a492760
13b7001b0aa631
14516c13a7a01a
1525cd8a9ec900
hex12ceade37ab8

20678889929400 has 480 divisors, whose sum is σ = 73329927834240. Its totient is φ = 5399491933440.

The previous prime is 20678889929387. The next prime is 20678889929413. The reversal of 20678889929400 is 492998887602.

20678889929400 is a `hidden beast` number, since 2 + 0 + 67 + 88 + 89 + 9 + 2 + 9 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (20678889929387) and next prime (20678889929413).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 181204759 + ... + 181318841.

It is an arithmetic number, because the mean of its divisors is an integer number (152770682988).

Almost surely, 220678889929400 is an apocalyptic number.

20678889929400 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 20678889929400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36664963917120).

20678889929400 is an abundant number, since it is smaller than the sum of its proper divisors (52651037904840).

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

20678889929400 is a wasteful number, since it uses less digits than its factorization.

20678889929400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114345 (or 114327 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 20678889929400 in words is "twenty trillion, six hundred seventy-eight billion, eight hundred eighty-nine million, nine hundred twenty-nine thousand, four hundred".