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20824340625 = 375511277
BaseRepresentation
bin10011011001001110…
…100011100010010001
31222202021200010000000
4103121032203202101
5320122012400000
613322213520213
71335021655224
oct233116434221
958667603000
1020824340625
118916885370
124052043069
131c6b40085a
1410179895bb
1581d300000
hex4d93a3891

20824340625 has 192 divisors, whose sum is σ = 42739764480. Its totient is φ = 10060200000.

The previous prime is 20824340617. The next prime is 20824340639. The reversal of 20824340625 is 52604342802.

20824340625 is a `hidden beast` number, since 2 + 0 + 8 + 24 + 3 + 4 + 0 + 625 = 666.

It is not a de Polignac number, because 20824340625 - 23 = 20824340617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20824340625.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75177987 + ... + 75178263.

It is an arithmetic number, because the mean of its divisors is an integer number (222602940).

Almost surely, 220824340625 is an apocalyptic number.

20824340625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20824340625 is an abundant number, since it is smaller than the sum of its proper divisors (21915423855).

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

20824340625 is an frugal number, since it uses more digits than its factorization.

20824340625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 20824340625 in words is "twenty billion, eight hundred twenty-four million, three hundred forty thousand, six hundred twenty-five".