Search a number
-
+
20791362400 = 255241633883
BaseRepresentation
bin10011010111010000…
…110000001101100000
31222122222121122101021
4103113100300031200
5320040042044100
613315035015224
71334141443624
oct232720601540
958588548337
1020791362400
1188aa200336
124042b9a514
131c64625103
141013443184
1581a488a1a
hex4d7430360

20791362400 has 72 divisors (see below), whose sum is σ = 51994968984. Its totient is φ = 8113689600.

The previous prime is 20791362367. The next prime is 20791362409. The reversal of 20791362400 is 426319702.

It is a super-3 number, since 3×207913624003 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20791362409) 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, 284142 + ... + 349741.

It is an arithmetic number, because the mean of its divisors is an integer number (722152347).

Almost surely, 220791362400 is an apocalyptic number.

20791362400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20791362400 is an abundant number, since it is smaller than the sum of its proper divisors (31203606584).

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

20791362400 is a wasteful number, since it uses less digits than its factorization.

20791362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633944 (or 633931 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 20791362400 in words is "twenty billion, seven hundred ninety-one million, three hundred sixty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 160 164 200 205 328 400 410 656 800 820 1025 1312 1640 2050 3280 4100 6560 8200 16400 32800 633883 1267766 2535532 3169415 5071064 6338830 10142128 12677660 15847075 20284256 25355320 25989203 31694150 50710640 51978406 63388300 101421280 103956812 126776600 129946015 207913624 253553200 259892030 415827248 507106400 519784060 649730075 831654496 1039568120 1299460150 2079136240 2598920300 4158272480 5197840600 10395681200 20791362400