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38620804598772 = 223113118015240491
BaseRepresentation
bin10001100100000000110110…
…10101101100101111110100
312001202010001021110100002220
420302000123111230233310
520030230401434130042
6214050052552202340
711064155353416414
oct1062003325545764
9161663037410086
1038620804598772
111133aa9a398870
1243b8b793993b0
131871c06c6b686
14977384d9a644
1546e9382ac8ec
hex23201b56cbf4

38620804598772 has 96 divisors (see below), whose sum is σ = 101535077511168. Its totient is φ = 11319458400000.

The previous prime is 38620804598687. The next prime is 38620804598777. The reversal of 38620804598772 is 27789540802683.

It is a junction number, because it is equal to n+sod(n) for n = 38620804598697 and 38620804598706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38620804598777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4749447 + ... + 9989937.

It is an arithmetic number, because the mean of its divisors is an integer number (1057657057408).

Almost surely, 238620804598772 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 38620804598772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50767538755584).

38620804598772 is an abundant number, since it is smaller than the sum of its proper divisors (62914272912396).

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

38620804598772 is a wasteful number, since it uses less digits than its factorization.

38620804598772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242341 (or 5242339 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 69.

The spelling of 38620804598772 in words is "thirty-eight trillion, six hundred twenty billion, eight hundred four million, five hundred ninety-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 1801 2046 3602 4092 5403 7204 10806 19811 21612 39622 55831 59433 79244 111662 118866 167493 223324 237732 334986 614141 669972 1228282 1842423 2456564 3684846 5240491 7369692 10480982 15721473 20961964 31442946 57645401 62885892 115290802 162455221 172936203 230581604 324910442 345872406 487365663 649820884 691744812 974731326 1787007431 1949462652 3574014862 5361022293 7148029724 9438124291 10722044586 18876248582 21444089172 28314372873 37752497164 56628745746 103819367201 113257491492 207638734402 292581853021 311458101603 415277468804 585163706042 622916203206 877745559063 1170327412084 1245832406412 1755491118126 3218400383231 3510982236252 6436800766462 9655201149693 12873601532924 19310402299386 38620804598772