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7484681652 = 2237437872633
BaseRepresentation
bin1101111100001111…
…10010110110110100
3201022121202020000120
412332013302312310
5110312034303102
63234410411540
7353322513210
oct67607626664
921277666016
107484681652
1131a09a9118
12154a730bb0
13923856816
14510085940
152dc1586bc
hex1be1f2db4

7484681652 has 96 divisors (see below), whose sum is σ = 20457034752. Its totient is φ = 2085302016.

The previous prime is 7484681629. The next prime is 7484681653. The reversal of 7484681652 is 2561864847.

It is a junction number, because it is equal to n+sod(n) for n = 7484681595 and 7484681604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7484681653) 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, 2841328 + ... + 2843960.

It is an arithmetic number, because the mean of its divisors is an integer number (213094112).

Almost surely, 27484681652 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 7484681652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10228517376).

7484681652 is an abundant number, since it is smaller than the sum of its proper divisors (12972353100).

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

7484681652 is a wasteful number, since it uses less digits than its factorization.

7484681652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477 (or 3475 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 7484681652 is about 86514.0546500972. The cubic root of 7484681652 is about 1956.1002610439.

The spelling of 7484681652 in words is "seven billion, four hundred eighty-four million, six hundred eighty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 787 903 1204 1574 1806 2361 2633 3148 3612 4722 5266 5509 7899 9444 10532 11018 15798 16527 18431 22036 31596 33054 33841 36862 55293 66108 67682 73724 101523 110586 113219 135364 203046 221172 226438 236887 339657 406092 452876 473774 679314 710661 792533 947548 1358628 1421322 1585066 2072171 2377599 2842644 3170132 4144342 4755198 6216513 8288684 9510396 12433026 14505197 24866052 29010394 43515591 58020788 87031182 89103353 174062364 178206706 267310059 356413412 534620118 623723471 1069240236 1247446942 1871170413 2494893884 3742340826 7484681652