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20474748100 = 22524123492
BaseRepresentation
bin10011000100011000…
…111101110011000100
31221211220211222012201
4103010120331303010
5313413013414400
613223404524244
71323245326102
oct230430756304
957756758181
1020474748100
118757509324
123b74b50684
131c13b5ac81
14dc3386c72
157ec79706a
hex4c463dcc4

20474748100 has 81 divisors (see below), whose sum is σ = 45671159541. Its totient is φ = 7967251200.

The previous prime is 20474748089. The next prime is 20474748139. The reversal of 20474748100 is 184747402.

The square root of 20474748100 is 143090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 18412861636 + 2061886464 = 135694^2 + 45408^2 .

It is a super-2 number, since 2×204747481002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20474748100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58666726 + ... + 58667074.

Almost surely, 220474748100 is an apocalyptic number.

20474748100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20474748100 is the 143090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20474748100

20474748100 is an abundant number, since it is smaller than the sum of its proper divisors (25196411441).

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

20474748100 is an equidigital number, since it uses as much as digits as its factorization.

20474748100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 37.

The spelling of 20474748100 in words is "twenty billion, four hundred seventy-four million, seven hundred forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 349 410 698 820 1025 1396 1681 1745 2050 3362 3490 4100 6724 6980 8405 8725 14309 16810 17450 28618 33620 34900 42025 57236 71545 84050 121801 143090 168100 243602 286180 357725 487204 586669 609005 715450 1173338 1218010 1430900 2346676 2436020 2933345 3045025 4993841 5866690 6090050 9987682 11733380 12180100 14666725 19975364 24969205 29333450 49938410 58666900 99876820 124846025 204747481 249692050 409494962 499384100 818989924 1023737405 2047474810 4094949620 5118687025 10237374050 20474748100