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20929311292912 = 2411534794684151
BaseRepresentation
bin1001100001000111111000…
…01010100011110111110000
32202002211012200121112202021
410300203330022203313300
510220401212142333122
6112302443132201224
74260043562462611
oct460437412436760
982084180545667
1020929311292912
11673a086665050
1224202a8009214
13b8a81954aa39
14524dac413c08
152646457ea1c7
hex1308fc2a3df0

20929311292912 has 80 divisors (see below), whose sum is σ = 45165717780480. Its totient is φ = 9314338592000.

The previous prime is 20929311292889. The next prime is 20929311292931. The reversal of 20929311292912 is 21929211392902.

It is a happy number.

It is a super-2 number, since 2×209293112929122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20929311292912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2126037 + ... + 6810187.

It is an arithmetic number, because the mean of its divisors is an integer number (564571472256).

Almost surely, 220929311292912 is an apocalyptic number.

20929311292912 is a gapful number since it is divisible by the number (22) 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 20929311292912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22582858890240).

20929311292912 is an abundant number, since it is smaller than the sum of its proper divisors (24236406487568).

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

20929311292912 is a wasteful number, since it uses less digits than its factorization.

20929311292912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4684702 (or 4684696 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 52.

The spelling of 20929311292912 in words is "twenty trillion, nine hundred twenty-nine billion, three hundred eleven million, two hundred ninety-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 479 583 848 958 1166 1916 2332 3832 4664 5269 7664 9328 10538 21076 25387 42152 50774 84304 101548 203096 279257 406192 558514 1117028 2234056 4468112 4684151 9368302 18736604 37473208 51525661 74946416 103051322 206102644 248260003 412205288 496520006 824410576 993040012 1986080024 2243708329 2730860033 3972160048 4487416658 5461720066 8974833316 10923440132 17949666632 21846880264 24680791619 35899333264 43693760528 49361583238 98723166476 118916541437 197446332952 237833082874 394892665904 475666165748 951332331496 1308081955807 1902664662992 2616163911614 5232327823228 10464655646456 20929311292912