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20425672608 = 2531123098377
BaseRepresentation
bin10011000001011101…
…110000011110100000
31221201111111200021220
4103001131300132200
5313312433010413
613214453015040
71322111231625
oct230135603640
957644450256
1020425672608
11873183a170
123b60624480
131c06937613
14dbaa5034c
157e8301223
hex4c17707a0

20425672608 has 96 divisors (see below), whose sum is σ = 58524016320. Its totient is φ = 6186178560.

The previous prime is 20425672607. The next prime is 20425672609. The reversal of 20425672608 is 80627652402.

It is an interprime number because it is at equal distance from previous prime (20425672607) and next prime (20425672609).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 20425672608.

It is not an unprimeable number, because it can be changed into a prime (20425672607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2434116 + ... + 2442492.

It is an arithmetic number, because the mean of its divisors is an integer number (609625170).

Almost surely, 220425672608 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 20425672608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29262008160).

20425672608 is an abundant number, since it is smaller than the sum of its proper divisors (38098343712).

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

20425672608 is a wasteful number, since it uses less digits than its factorization.

20425672608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10710 (or 10702 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 20425672608 in words is "twenty billion, four hundred twenty-five million, six hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2309 4618 6927 8377 9236 13854 16754 18472 25131 25399 27708 33508 36944 50262 50798 55416 67016 73888 76197 92147 100524 101596 110832 134032 152394 184294 201048 203192 221664 268064 276441 304788 368588 402096 406384 552882 609576 737176 804192 812768 1105764 1219152 1474352 2211528 2438304 2948704 4423056 8846112 19342493 38684986 58027479 77369972 116054958 154739944 212767423 232109916 309479888 425534846 464219832 618959776 638302269 851069692 928439664 1276604538 1702139384 1856879328 2553209076 3404278768 5106418152 6808557536 10212836304 20425672608