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21002152704 = 2831315113931
BaseRepresentation
bin10011100011110100…
…110110101100000000
32000012200020220022120
4103203310312230000
5321003022341304
613352005004240
71342311231621
oct234364665400
960180226276
1021002152704
1189a81931a5
1240a16b3680
131c991b98c0
141033433a48
1582dc250d9
hex4e3d36b00

21002152704 has 144 divisors (see below), whose sum is σ = 60599073024. Its totient is φ = 6418944000.

The previous prime is 21002152681. The next prime is 21002152709. The reversal of 21002152704 is 40725120012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21002152709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1500619 + ... + 1514549.

It is an arithmetic number, because the mean of its divisors is an integer number (420826896).

Almost surely, 221002152704 is an apocalyptic number.

21002152704 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 21002152704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30299536512).

21002152704 is an abundant number, since it is smaller than the sum of its proper divisors (39596920320).

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

21002152704 is a wasteful number, since it uses less digits than its factorization.

21002152704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14114 (or 14100 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

Adding to 21002152704 its reverse (40725120012), we get a palindrome (61727272716).

The spelling of 21002152704 in words is "twenty-one billion, two million, one hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 151 156 192 208 256 302 312 384 416 453 604 624 768 832 906 1208 1248 1664 1812 1963 2416 2496 3328 3624 3926 4832 4992 5889 7248 7852 9664 9984 11778 13931 14496 15704 19328 23556 27862 28992 31408 38656 41793 47112 55724 57984 62816 83586 94224 111448 115968 125632 167172 181103 188448 222896 251264 334344 362206 376896 445792 502528 543309 668688 724412 753792 891584 1086618 1337376 1448824 1507584 1783168 2103581 2173236 2674752 2897648 3566336 4207162 4346472 5349504 5795296 6310743 8414324 8692944 10699008 11590592 12621486 16828648 17385888 23181184 25242972 27346553 33657296 34771776 46362368 50485944 54693106 67314592 69543552 82039659 100971888 109386212 134629184 139087104 164079318 201943776 218772424 269258368 328158636 403887552 437544848 538516736 656317272 807775104 875089696 1312634544 1615550208 1750179392 2625269088 3500358784 5250538176 7000717568 10501076352 21002152704