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20313519616 = 29137397431
BaseRepresentation
bin10010111010110001…
…111011011000000000
31221102200110201022101
4102322301323120000
5313100230111431
613155405120144
71316250032155
oct227261733000
957380421271
1020313519616
1186844a7a45
123b2ab59054
131bb962a2c0
14da9bb822c
157dd54a961
hex4bac7b600

20313519616 has 160 divisors (see below), whose sum is σ = 44868878208. Its totient is φ = 9130475520.

The previous prime is 20313519613. The next prime is 20313519617. The reversal of 20313519616 is 61691531302.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20313519613) 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, 47130921 + ... + 47131351.

Almost surely, 220313519616 is an apocalyptic number.

20313519616 is a gapful number since it is divisible by the number (26) 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 20313519616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22434439104).

20313519616 is an abundant number, since it is smaller than the sum of its proper divisors (24555358592).

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

20313519616 is an equidigital number, since it uses as much as digits as its factorization.

20313519616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 20313519616 in words is "twenty billion, three hundred thirteen million, five hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 97 104 128 146 194 208 256 292 388 416 431 512 584 776 832 862 949 1168 1261 1552 1664 1724 1898 2336 2522 3104 3328 3448 3796 4672 5044 5603 6208 6656 6896 7081 7592 9344 10088 11206 12416 13792 14162 15184 18688 20176 22412 24832 27584 28324 30368 31463 37376 40352 41807 44824 49664 55168 56648 60736 62926 80704 83614 89648 92053 110336 113296 121472 125852 161408 167228 179296 184106 220672 226592 242944 251704 322816 334456 358592 368212 409019 453184 485888 503408 543491 645632 668912 717184 736424 818038 906368 1006816 1086982 1337824 1434368 1472848 1636076 1812736 2013632 2173964 2675648 2868736 2945696 3051911 3272152 3625472 4027264 4347928 5351296 5891392 6103822 6544304 8054528 8695856 10702592 11782784 12207644 13088608 16109056 17391712 21405184 23565568 24415288 26177216 34783424 39674843 47131136 48830576 52354432 69566848 79349686 97661152 104708864 139133696 158699372 195322304 209417728 278267392 317398744 390644608 634797488 781289216 1269594976 1562578432 2539189952 5078379904 10156759808 20313519616