Search a number
-
+
138809902175952 = 2437274101796451
BaseRepresentation
bin11111100011111100110010…
…111010010001011011010000
3200012111002121202020002101020
4133203330302322101123100
5121143230134424112302
61211120215544235440
741144453530504500
oct3743746272213320
9605432552202336
10138809902175952
1140257a49014547
121369a35746bb80
135c5b943781c07
14263c613d3da00
15110ab6dcd8ebc
hex7e3f32e916d0

138809902175952 has 120 divisors (see below), whose sum is σ = 417144073383072. Its totient is φ = 39659387040000.

The previous prime is 138809902175929. The next prime is 138809902175957. The reversal of 138809902175952 is 259571209908831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138809902175957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173887327 + ... + 174683777.

Almost surely, 2138809902175952 is an apocalyptic number.

138809902175952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138809902175952 is an abundant number, since it is smaller than the sum of its proper divisors (278334171207120).

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

138809902175952 is a wasteful number, since it uses less digits than its factorization.

138809902175952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870577 (or 870564 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 69.

The spelling of 138809902175952 in words is "one hundred thirty-eight trillion, eight hundred nine billion, nine hundred two million, one hundred seventy-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 74101 148202 222303 296404 444606 518707 592808 796451 889212 1037414 1185616 1556121 1592902 1778424 2074828 2389353 3112242 3185804 3556848 3630949 4149656 4778706 5575157 6224484 6371608 7261898 8299312 9557412 10892847 11150314 12448968 12743216 14523796 16725471 19114824 21785694 22300628 24897936 29047592 33450942 38229648 39026099 43571388 44601256 58095184 66901884 78052198 87142776 89202512 117078297 133803768 156104396 174285552 234156594 267607536 312208792 468313188 624417584 936626376 1873252752 59017815551 118035631102 177053446653 236071262204 354106893306 413124708857 472142524408 708213786612 826249417714 944285048816 1239374126571 1416427573224 1652498835428 2478748253142 2832855146448 2891872961999 3304997670856 4957496506284 5783745923998 6609995341712 8675618885997 9914993012568 11567491847996 17351237771994 19829986025136 23134983695992 34702475543988 46269967391984 69404951087976 138809902175952