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20332169686632 = 23353199269298601
BaseRepresentation
bin1001001111101111100111…
…10000000110111001101000
32122222201212212022221022010
410213313303300012321220
510131110240414433012
6111124245251155520
74165644055540146
oct447676360067150
978881785287263
1020332169686632
116529908803011
1223446165a5ba0
13b46413b5457b
14504121a34596
15253d4689dc3c
hex127df3c06e68

20332169686632 has 128 divisors (see below), whose sum is σ = 52243405920000. Its totient is φ = 6591482726400.

The previous prime is 20332169686607. The next prime is 20332169686651. The reversal of 20332169686632 is 23668696123302.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67942132 + ... + 68240732.

It is an arithmetic number, because the mean of its divisors is an integer number (408151608750).

Almost surely, 220332169686632 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 20332169686632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26121702960000).

20332169686632 is an abundant number, since it is smaller than the sum of its proper divisors (31911236233368).

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

20332169686632 is a wasteful number, since it uses less digits than its factorization.

20332169686632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299131 (or 299127 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 57.

The spelling of 20332169686632 in words is "twenty trillion, three hundred thirty-two billion, one hundred sixty-nine million, six hundred eighty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 199 212 269 318 398 424 538 597 636 796 807 1076 1194 1272 1592 1614 2152 2388 3228 4776 6456 10547 14257 21094 28514 31641 42188 42771 53531 57028 63282 84376 85542 107062 114056 126564 160593 171084 214124 253128 298601 321186 342168 428248 597202 642372 895803 1194404 1284744 1791606 2388808 2837143 3583212 5674286 7166424 8511429 11348572 15825853 17022858 22697144 31651706 34045716 47477559 59421599 63303412 68091432 80323669 94955118 118843198 126606824 160647338 178264797 189910236 237686396 240971007 321294676 356529594 379820472 475372792 481942014 642589352 713059188 963884028 1426118376 1927768056 3149344747 4257154457 6298689494 8514308914 9448034241 12597378988 12771463371 15984410131 17028617828 18896068482 25194757976 25542926742 31968820262 34057235656 37792136964 47953230393 51085853484 63937640524 75584273928 95906460786 102171706968 127875281048 191812921572 383625843144 847173736943 1694347473886 2541521210829 3388694947772 5083042421658 6777389895544 10166084843316 20332169686632