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20513355264 = 293235312611
BaseRepresentation
bin10011000110101100…
…001111011000000000
31221221121111102021200
4103012230033120000
5314002404332024
613231304221200
71324224433323
oct230654173000
957847442250
1020513355264
118777288476
123b85a6a800
131c1bb5784c
14dc85567ba
15800d712c9
hex4c6b0f600

20513355264 has 120 divisors (see below), whose sum is σ = 59375353752. Its totient is φ = 6817873920.

The previous prime is 20513355251. The next prime is 20513355383. The reversal of 20513355264 is 46255331502.

20513355264 is a `hidden beast` number, since 2 + 0 + 513 + 35 + 52 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1620319 + ... + 1632929.

Almost surely, 220513355264 is an apocalyptic number.

20513355264 is a gapful number since it is divisible by the number (24) 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 20513355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29687676876).

20513355264 is an abundant number, since it is smaller than the sum of its proper divisors (38861998488).

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

20513355264 is a wasteful number, since it uses less digits than its factorization.

20513355264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12988 (or 12969 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 20513355264 its reverse (46255331502), we get a palindrome (66768686766).

The spelling of 20513355264 in words is "twenty billion, five hundred thirteen million, three hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 353 384 512 576 706 768 1059 1152 1412 1536 2118 2304 2824 3177 4236 4608 5648 6354 8472 11296 12611 12708 16944 22592 25222 25416 33888 37833 45184 50444 50832 67776 75666 90368 100888 101664 113499 135552 151332 180736 201776 203328 226998 271104 302664 403552 406656 453996 542208 605328 807104 813312 907992 1210656 1614208 1626624 1815984 2421312 3228416 3631968 4451683 4842624 6456832 7263936 8903366 9685248 13355049 14527872 17806732 19370496 26710098 29055744 35613464 40065147 53420196 58111488 71226928 80130294 106840392 142453856 160260588 213680784 284907712 320521176 427361568 569815424 641042352 854723136 1139630848 1282084704 1709446272 2279261696 2564169408 3418892544 5128338816 6837785088 10256677632 20513355264