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19972690394736 = 243972131337583
BaseRepresentation
bin1001000101010010000010…
…00111011011111001110000
32121201101000010121211001010
410202221001013123321300
510104213032220112421
6110251154410310520
74130656613142312
oct442510107337160
977641003554033
1019972690394736
11640040904a432
1222a6a11728440
13b1b5554213b1
144d097d2657b2
15249807546076
hex122a411dbe70

19972690394736 has 120 divisors (see below), whose sum is σ = 52531640688384. Its totient is φ = 6538612254720.

The previous prime is 19972690394729. The next prime is 19972690394743. The reversal of 19972690394736 is 63749309627991.

It is an interprime number because it is at equal distance from previous prime (19972690394729) and next prime (19972690394743).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58995001 + ... + 59332583.

Almost surely, 219972690394736 is an apocalyptic number.

19972690394736 is a gapful number since it is divisible by the number (16) 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 19972690394736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26265820344192).

19972690394736 is an abundant number, since it is smaller than the sum of its proper divisors (32558950293648).

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

19972690394736 is a wasteful number, since it uses less digits than its factorization.

19972690394736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337919 (or 337816 counting only the distinct ones).

The product of its (nonzero) digits is 833299488, while the sum is 75.

The spelling of 19972690394736 in words is "nineteen trillion, nine hundred seventy-two billion, six hundred ninety million, three hundred ninety-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 131 194 262 291 388 393 524 582 776 786 1048 1164 1552 1572 2096 2328 3144 4656 6288 9409 12707 18818 25414 28227 37636 38121 50828 56454 75272 76242 101656 112908 150544 152484 203312 225816 304968 337583 451632 609936 675166 1012749 1232579 1350332 2025498 2465158 2700664 3697737 4050996 4930316 5401328 7395474 8101992 9860632 14790948 16203984 19721264 29581896 32745551 44223373 59163792 65491102 88446746 98236653 130982204 132670119 176893492 196473306 261964408 265340238 353786984 392946612 523928816 530680476 707573968 785893224 1061360952 1571786448 2122721904 3176318447 4289667181 6352636894 8579334362 9528955341 12705273788 12869001543 17158668724 19057910682 25410547576 25738003086 34317337448 38115821364 50821095152 51476006172 68634674896 76231642728 102952012344 152463285456 205904024688 416097716557 832195433114 1248293149671 1664390866228 2496586299342 3328781732456 4993172598684 6657563464912 9986345197368 19972690394736