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20780230602240 = 293252027444953
BaseRepresentation
bin1001011100110010001100…
…10000110110111000000000
32201120120101222222210012100
410232121012100312320000
510210430403013232430
6112110150043430400
74243215325511514
oct456310620667000
981516358883170
1020780230602240
11669193448767a
1223b7421225400
13b7974b595bc5
1451baa8ba8144
1526081c7ad960
hex12e646436e00

20780230602240 has 240 divisors, whose sum is σ = 72003449417328. Its totient is φ = 5538648588288.

The previous prime is 20780230602223. The next prime is 20780230602269. The reversal of 20780230602240 is 4220603208702.

It is a happy number.

20780230602240 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 0 + 2 + 3 + 0 + 602 + 2 + 40 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 20780230602195 and 20780230602204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46479604 + ... + 46924556.

Almost surely, 220780230602240 is an apocalyptic number.

20780230602240 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 20780230602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36001724708664).

20780230602240 is an abundant number, since it is smaller than the sum of its proper divisors (51223218815088).

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

20780230602240 is a wasteful number, since it uses less digits than its factorization.

20780230602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447009 (or 446990 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 20780230602240 in words is "twenty trillion, seven hundred eighty billion, two hundred thirty million, six hundred two thousand, two hundred forty".