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20344522624504 = 23134335317097541
BaseRepresentation
bin1001010000000110101000…
…00010110100110111111000
32200000220202202120012101121
410220003110002310313320
510131311040242441004
6111134051125355024
74166562144015241
oct450032402646770
980026682505347
1020344522624504
116534077706081
122346aa3568a74
13b47632160570
14504974485cc8
1525431b0d8854
hex1280d40b4df8

20344522624504 has 128 divisors (see below), whose sum is σ = 42184982347200. Its totient is φ = 9138867978240.

The previous prime is 20344522624471. The next prime is 20344522624511. The reversal of 20344522624504 is 40542622544302.

It is a Harshad number since it is a multiple of its sum of digits (43).

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 31 ways as a sum of consecutive naturals, for example, 2697850974 + ... + 2697858514.

Almost surely, 220344522624504 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 20344522624504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092491173600).

20344522624504 is an abundant number, since it is smaller than the sum of its proper divisors (21840459722696).

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

20344522624504 is a wasteful number, since it uses less digits than its factorization.

20344522624504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9665 (or 9661 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 43.

The spelling of 20344522624504 in words is "twenty trillion, three hundred forty-four billion, five hundred twenty-two million, six hundred twenty-four thousand, five hundred four".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 344 353 559 706 1118 1412 1709 2236 2824 3418 4472 4589 6836 7541 9178 13672 15082 15179 18356 22217 30164 30358 36712 44434 60328 60716 73487 88868 98033 121432 146974 177736 196066 197327 293948 324263 392132 394654 587896 603277 648526 784264 789308 955331 1206554 1297052 1578616 1910662 2413108 2594104 2661973 3821324 4215419 4826216 5323946 7642648 7842601 8430838 10647892 12887569 15685202 16861676 21295784 25775138 25940911 31370404 33723352 34605649 51550276 51881822 62740808 69211298 103100552 103763644 114464839 138422596 167538397 207527288 228929678 276845192 335076794 337231843 457859356 554165467 670153588 674463686 915718712 1108330934 1340307176 1348927372 1488042907 2216661868 2697854744 2976085814 4433323736 4549311857 5952171628 7204151071 9098623714 11904343256 14408302142 18197247428 28816604284 36394494856 57633208568 59141054141 118282108282 195620409851 236564216564 391240819702 473128433128 782481639404 1564963278808 2543065328063 5086130656126 10172261312252 20344522624504