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20621576106496 = 29536131239697
BaseRepresentation
bin1001011000001010101011…
…01101111111001000000000
32201000101220002120100001101
410230011111231333020000
510200330441440401441
6111505230555144144
74225600610530321
oct454052555771000
981011802510041
1020621576106496
11663061a121802
122390724145054
13b677b6007261
14514137c5c448
1525b633eee231
hex12c155b7f200

20621576106496 has 80 divisors (see below), whose sum is σ = 42048805706424. Its totient is φ = 10099733889024.

The previous prime is 20621576106479. The next prime is 20621576106503. The reversal of 20621576106496 is 69460167512602.

It can be written as a sum of positive squares in 4 ways, for example, as 11313804960000 + 9307771146496 = 3363600^2 + 3050864^2 .

It is a super-3 number, since 3×206215761064963 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16014520 + ... + 17254216.

Almost surely, 220621576106496 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 20621576106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21024402853212).

20621576106496 is an abundant number, since it is smaller than the sum of its proper divisors (21427229599928).

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

20621576106496 is an equidigital number, since it uses as much as digits as its factorization.

20621576106496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240381 (or 1240365 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 20621576106496 in words is "twenty trillion, six hundred twenty-one billion, five hundred seventy-six million, one hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 613 848 1226 1696 2452 3392 4904 6784 9808 13568 19616 27136 32489 39232 64978 78464 129956 156928 259912 313856 519824 1039648 1239697 2079296 2479394 4158592 4958788 8317184 9917576 16634368 19835152 39670304 65703941 79340608 131407882 158681216 262815764 317362432 525631528 634724864 759934261 1051263056 1519868522 2102526112 3039737044 4205052224 6079474088 8410104448 12158948176 16820208896 24317896352 33640417792 40276515833 48635792704 80553031666 97271585408 161106063332 194543170816 322212126664 389086341632 644424253328 1288848506656 2577697013312 5155394026624 10310788053248 20621576106496