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20698062400 = 265225151539
BaseRepresentation
bin10011010001101100…
…110101111001000000
31222102111001111211201
4103101230311321000
5314342200444100
613301503150544
71331626425151
oct232154657100
958374044751
1020698062400
1188615756a4
1240178a5454
131c4b1b9102
141004cb7928
158121a936a
hex4d1b35e40

20698062400 has 84 divisors (see below), whose sum is σ = 51134070960. Its totient is φ = 8246080000.

The previous prime is 20698062397. The next prime is 20698062401. The reversal of 20698062400 is 426089602.

It is a super-2 number, since 2×206980624002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20698062400.

It is not an unprimeable number, because it can be changed into a prime (20698062401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375831 + ... + 427369.

It is an arithmetic number, because the mean of its divisors is an integer number (608738940).

Almost surely, 220698062400 is an apocalyptic number.

20698062400 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 20698062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25567035480).

20698062400 is an abundant number, since it is smaller than the sum of its proper divisors (30436008560).

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

20698062400 is a wasteful number, since it uses less digits than its factorization.

20698062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51812 (or 51797 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 20698062400 in words is "twenty billion, six hundred ninety-eight million, sixty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 251 320 400 502 800 1004 1255 1600 2008 2510 4016 5020 6275 8032 10040 12550 16064 20080 25100 40160 50200 51539 80320 100400 103078 200800 206156 257695 401600 412312 515390 824624 1030780 1288475 1649248 2061560 2576950 3298496 4123120 5153900 8246240 10307800 12936289 16492480 20615600 25872578 41231200 51745156 64681445 82462400 103490312 129362890 206980624 258725780 323407225 413961248 517451560 646814450 827922496 1034903120 1293628900 2069806240 2587257800 4139612480 5174515600 10349031200 20698062400