Search a number
-
+
1040825493680 = 245717261741777
BaseRepresentation
bin11110010010101100000…
…10001010100010110000
310200111112220210101102112
433021112002022202300
5114023102311244210
62114052034304452
7135124424502650
oct17112602124260
93614486711375
101040825493680
11371458947615
12149876428128
13771c3388aab
143853a4d8360
151c11a95dd05
hexf25608a8b0

1040825493680 has 160 divisors (see below), whose sum is σ = 2929494750336. Its totient is φ = 335726641152.

The previous prime is 1040825493667. The next prime is 1040825493779. The reversal of 1040825493680 is 863945280401.

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, 24892952 + ... + 24934728.

Almost surely, 21040825493680 is an apocalyptic number.

1040825493680 is a gapful number since it is divisible by the number (10) 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 1040825493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464747375168).

1040825493680 is an abundant number, since it is smaller than the sum of its proper divisors (1888669256656).

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

1040825493680 is a wasteful number, since it uses less digits than its factorization.

1040825493680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44431 (or 44425 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 1040825493680 in words is "one trillion, forty billion, eight hundred twenty-five million, four hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 2617 4760 5234 9520 10468 13085 18319 20936 26170 36638 41777 41872 44489 52340 73276 83554 88978 91595 104680 146552 167108 177956 183190 208885 209360 222445 292439 293104 311423 334216 355912 366380 417770 444890 584878 622846 668432 710209 711824 732760 835540 889780 1169756 1245692 1420418 1462195 1465520 1557115 1671080 1779560 2339512 2491384 2840836 2924390 3114230 3342160 3551045 3559120 4679024 4971463 4982768 5681672 5848780 6228460 7102090 9942926 11363344 11697560 12456920 14204180 19885852 23395120 24857315 24913840 28408360 39771704 49714630 56816720 79543408 99429260 109330409 198858520 218660818 397717040 437321636 546652045 765312863 874643272 1093304090 1530625726 1749286544 1858616953 2186608180 3061251452 3717233906 3826564315 4373216360 6122502904 7434467812 7653128630 8746432720 9293084765 12245005808 13010318671 14868935624 15306257260 18586169530 26020637342 29737871248 30612514520 37172339060 52041274684 61225029040 65051593355 74344678120 104082549368 130103186710 148689356240 208165098736 260206373420 520412746840 1040825493680