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20772744640 = 26566198207
BaseRepresentation
bin10011010110001001…
…101110110111000000
31222121200120202121121
4103112021232313000
5320020310312030
613313132002024
71333524262504
oct232611566700
958550522547
1020772744640
11889a74455a
124038900314
131c60806b9b
141010b98304
15818a0c47a
hex4d626edc0

20772744640 has 56 divisors (see below), whose sum is σ = 49540436352. Its totient is φ = 8296442880.

The previous prime is 20772744611. The next prime is 20772744649. The reversal of 20772744640 is 4644727702.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20772744649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162417 + ... + 260623.

Almost surely, 220772744640 is an apocalyptic number.

20772744640 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 20772744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24770218176).

20772744640 is an abundant number, since it is smaller than the sum of its proper divisors (28767691712).

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

20772744640 is an equidigital number, since it uses as much as digits as its factorization.

20772744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98885 (or 98875 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 43.

The spelling of 20772744640 in words is "twenty billion, seven hundred seventy-two million, seven hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 661 1322 2644 3305 5288 6610 10576 13220 21152 26440 42304 52880 98207 105760 196414 211520 392828 491035 785656 982070 1571312 1964140 3142624 3928280 6285248 7856560 15713120 31426240 64914827 129829654 259659308 324574135 519318616 649148270 1038637232 1298296540 2077274464 2596593080 4154548928 5193186160 10386372320 20772744640