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2678734152 = 233419972243
BaseRepresentation
bin1001111110101010…
…0011110101001000
320220200111210110000
42133222203311020
520441223443102
61121450323000
7123244602363
oct23752436510
96820453400
102678734152
111155091686
12629129460
13338c7c0c3
141b5a990da
1510a28401c
hex9faa3d48

2678734152 has 160 divisors (see below), whose sum is σ = 7982805600. Its totient is φ = 836822016.

The previous prime is 2678734073. The next prime is 2678734153. The reversal of 2678734152 is 2514378762.

It is a junction number, because it is equal to n+sod(n) for n = 2678734098 and 2678734107.

It is not an unprimeable number, because it can be changed into a prime (2678734153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1193143 + ... + 1195385.

It is an arithmetic number, because the mean of its divisors is an integer number (49892535).

Almost surely, 22678734152 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 2678734152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991402800).

2678734152 is an abundant number, since it is smaller than the sum of its proper divisors (5304071448).

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

2678734152 is a wasteful number, since it uses less digits than its factorization.

2678734152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2364 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 2678734152 is about 51756.4889844742. The cubic root of 2678734152 is about 1388.8111830441.

The spelling of 2678734152 in words is "two billion, six hundred seventy-eight million, seven hundred thirty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 97 108 114 152 162 171 194 216 228 291 324 342 388 456 513 582 648 684 776 873 1026 1164 1368 1539 1746 1843 2052 2243 2328 2619 3078 3492 3686 4104 4486 5238 5529 6156 6729 6984 7372 7857 8972 10476 11058 12312 13458 14744 15714 16587 17944 20187 20952 22116 26916 31428 33174 40374 42617 44232 49761 53832 60561 62856 66348 80748 85234 99522 121122 127851 132696 149283 161496 170468 181683 199044 217571 242244 255702 298566 340936 363366 383553 398088 435142 484488 511404 597132 652713 726732 767106 870284 1022808 1150659 1194264 1305426 1453464 1534212 1740568 1958139 2301318 2610852 3068424 3451977 3916278 4133849 4602636 5221704 5874417 6903954 7832556 8267698 9205272 11748834 12401547 13807908 15665112 16535396 17623251 23497668 24803094 27615816 33070792 35246502 37204641 46995336 49606188 70493004 74409282 99212376 111613923 140986008 148818564 223227846 297637128 334841769 446455692 669683538 892911384 1339367076 2678734152