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20604157033680 = 243251125343102653
BaseRepresentation
bin1001010111101010001110…
…11101011111110011010000
32200221201221010111202022100
410223311013131133303100
510200034303200034210
6111453230304040400
74224413135046423
oct453650735376320
980851833452270
1020604157033680
1166241a0550560
122389282603100
13b65c6b25518c
145133646519ba
1525ae64b475c0
hex12bd4775fcd0

20604157033680 has 240 divisors, whose sum is σ = 75489852911616. Its totient is φ = 4994701409280.

The previous prime is 20604157033633. The next prime is 20604157033699. The reversal of 20604157033680 is 8633075140602.

20604157033680 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 41 + 570 + 3 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200665234 + ... + 200767886.

Almost surely, 220604157033680 is an apocalyptic number.

20604157033680 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 20604157033680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37744926455808).

20604157033680 is an abundant number, since it is smaller than the sum of its proper divisors (54885695877936).

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

20604157033680 is a wasteful number, since it uses less digits than its factorization.

20604157033680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128026 (or 128017 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20604157033680 in words is "twenty trillion, six hundred four billion, one hundred fifty-seven million, thirty-three thousand, six hundred eighty".