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16764464340 = 22325138278663
BaseRepresentation
bin11111001110011110…
…10110110011010100
31121021100022000201200
433213033112303110
5233313200324330
611411304352500
71132303411221
oct174717266324
947240260650
1016764464340
117123115208
1232ba475730
1317722765b0
14b506ca948
15681b9da60
hex3e73d6cd4

16764464340 has 144 divisors (see below), whose sum is σ = 54836466048. Its totient is φ = 4121171712.

The previous prime is 16764464329. The next prime is 16764464419. The reversal of 16764464340 is 4346446761.

16764464340 is a `hidden beast` number, since 167 + 6 + 446 + 4 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930849 + ... + 1939511.

It is an arithmetic number, because the mean of its divisors is an integer number (380808792).

Almost surely, 216764464340 is an apocalyptic number.

16764464340 is a gapful number since it is divisible by the number (10) 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 16764464340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27418233024).

16764464340 is an abundant number, since it is smaller than the sum of its proper divisors (38072001708).

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

16764464340 is a wasteful number, since it uses less digits than its factorization.

16764464340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9518 (or 9513 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 16764464340 in words is "sixteen billion, seven hundred sixty-four million, four hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 827 1170 1654 2340 2481 3308 4135 4962 7443 8270 8663 9924 10751 12405 14886 16540 17326 21502 24810 25989 29772 32253 34652 37215 43004 43315 49620 51978 53755 64506 74430 77967 86630 96759 103956 107510 112619 129012 129945 148860 155934 161265 173260 193518 215020 225238 259890 311868 322530 337857 387036 389835 450476 483795 519780 563095 645060 675714 779670 967590 1013571 1126190 1351428 1559340 1689285 1935180 2027142 2252380 3378570 4054284 5067855 6757140 7164301 10135710 14328602 20271420 21492903 28657204 35821505 42985806 64478709 71643010 85971612 93135913 107464515 128957418 143286020 186271826 214929030 257914836 279407739 322393545 372543652 429858060 465679565 558815478 644787090 838223217 931359130 1117630956 1289574180 1397038695 1676446434 1862718260 2794077390 3352892868 4191116085 5588154780 8382232170 16764464340