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20349629376 = 263163691941
BaseRepresentation
bin10010111100111011…
…101011001111000000
31221112012102021120220
4102330323223033000
5313134001120001
613203135103040
71320165665346
oct227473531700
957465367526
1020349629376
1186a292081a
123b3b071a80
131bc3c6121b
14db08d7996
157e17cec36
hex4bceeb3c0

20349629376 has 112 divisors (see below), whose sum is σ = 54308093568. Its totient is φ = 6724684800.

The previous prime is 20349629347. The next prime is 20349629383. The reversal of 20349629376 is 67392694302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21625066 + ... + 21626006.

Almost surely, 220349629376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20349629376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27154046784).

20349629376 is an abundant number, since it is smaller than the sum of its proper divisors (33958464192).

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

20349629376 is a wasteful number, since it uses less digits than its factorization.

20349629376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 51.

The spelling of 20349629376 in words is "twenty billion, three hundred forty-nine million, six hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 192 326 489 652 691 941 978 1304 1382 1882 1956 2073 2608 2764 2823 3764 3912 4146 5216 5528 5646 7528 7824 8292 10432 11056 11292 15056 15648 16584 22112 22584 30112 31296 33168 44224 45168 60224 66336 90336 112633 132672 153383 180672 225266 306766 337899 450532 460149 613532 650231 675798 901064 920298 1227064 1300462 1351596 1802128 1840596 1950693 2454128 2600924 2703192 3604256 3681192 3901386 4908256 5201848 5406384 7208512 7362384 7802772 9816512 10403696 10812768 14724768 15605544 20807392 21625536 29449536 31211088 41614784 62422176 105987653 124844352 211975306 317962959 423950612 635925918 847901224 1271851836 1695802448 2543703672 3391604896 5087407344 6783209792 10174814688 20349629376