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2678042172 = 22313197911437
BaseRepresentation
bin1001111110011111…
…1010111000111100
320220122012122020010
42133213322320330
520441034322142
61121423423220
7123235661061
oct23747727074
96818178203
102678042172
1111547597a3
12628a54b10
13338a99150
141b5958c68
1510a198e9c
hex9f9fae3c

2678042172 has 96 divisors (see below), whose sum is σ = 7173913600. Its totient is φ = 770694912.

The previous prime is 2678042137. The next prime is 2678042179. The reversal of 2678042172 is 2712408762.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2678042172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678042179) 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, 228438 + ... + 239874.

Almost surely, 22678042172 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 2678042172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586956800).

2678042172 is an abundant number, since it is smaller than the sum of its proper divisors (4495871428).

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

2678042172 is a wasteful number, since it uses less digits than its factorization.

2678042172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11555 (or 11553 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 2678042172 is about 51749.8035938302. The cubic root of 2678042172 is about 1388.6915852202.

The spelling of 2678042172 in words is "two billion, six hundred seventy-eight million, forty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 79 114 156 158 228 237 247 316 474 494 741 948 988 1027 1482 1501 2054 2964 3002 3081 4108 4503 6004 6162 9006 11437 12324 18012 19513 22874 34311 39026 45748 58539 68622 78052 117078 137244 148681 217303 234156 297362 434606 446043 594724 651909 869212 892086 903523 1303818 1784172 1807046 2607636 2710569 2824939 3614092 5421138 5649878 8474817 10842276 11299756 11745799 16949634 17166937 23491598 33899268 34333874 35237397 46983196 51500811 68667748 70474794 103001622 140949588 206003244 223170181 446340362 669510543 892680724 1339021086 2678042172