Search a number
-
+
6903142944 = 253174398369
BaseRepresentation
bin1100110110111010…
…11001101000100000
3122211002110222212220
412123131121220200
5103114201033234
63100554151040
7333031514115
oct63335315040
918732428786
106903142944
112a2270a515
121407a22480
13860222b89
14496b4690c
152a6085a49
hex19b759a20

6903142944 has 96 divisors (see below), whose sum is σ = 19633078080. Its totient is φ = 2115305472.

The previous prime is 6903142933. The next prime is 6903142949. The reversal of 6903142944 is 4492413096.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×69031429443 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6903142896 and 6903142905.

It is not an unprimeable number, because it can be changed into a prime (6903142949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20992 + ... + 119360.

It is an arithmetic number, because the mean of its divisors is an integer number (204511230).

Almost surely, 26903142944 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 6903142944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9816539040).

6903142944 is an abundant number, since it is smaller than the sum of its proper divisors (12729935136).

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

6903142944 is a wasteful number, since it uses less digits than its factorization.

6903142944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98442 (or 98434 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 6903142944 is about 83085.1547750860. The cubic root of 6903142944 is about 1904.0672745337.

The spelling of 6903142944 in words is "six billion, nine hundred three million, one hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 68 86 96 102 129 136 172 204 258 272 344 408 516 544 688 731 816 1032 1376 1462 1632 2064 2193 2924 4128 4386 5848 8772 11696 17544 23392 35088 70176 98369 196738 295107 393476 590214 786952 1180428 1573904 1672273 2360856 3147808 3344546 4229867 4721712 5016819 6689092 8459734 9443424 10033638 12689601 13378184 16919468 20067276 25379202 26756368 33838936 40134552 50758404 53512736 67677872 71907739 80269104 101516808 135355744 143815478 160538208 203033616 215723217 287630956 406067232 431446434 575261912 862892868 1150523824 1725785736 2301047648 3451571472 6903142944