Search a number
-
+
103253857974 = 2337092696909
BaseRepresentation
bin110000000101001101…
…0001101011010110110
3100212111221100110021000
41200022122031122312
53142430441423344
6115233440304130
710313504211621
oct1401232153266
9325457313230
10103253857974
113a876124823
1218017612046
1399769876a7
144dd7268db8
152a44c25a69
hex180a68d6b6

103253857974 has 32 divisors (see below), whose sum is σ = 229776732000. Its totient is φ = 34369395552.

The previous prime is 103253857957. The next prime is 103253857997. The reversal of 103253857974 is 479758352301.

103253857974 is a `hidden beast` number, since 1 + 0 + 32 + 5 + 38 + 579 + 7 + 4 = 666.

It is a super-2 number, since 2×1032538579742 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 103253857974.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1310169 + ... + 1386740.

It is an arithmetic number, because the mean of its divisors is an integer number (7180522875).

Almost surely, 2103253857974 is an apocalyptic number.

103253857974 is an abundant number, since it is smaller than the sum of its proper divisors (126522874026).

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

103253857974 is a wasteful number, since it uses less digits than its factorization.

103253857974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697629 (or 2697623 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 103253857974 in words is "one hundred three billion, two hundred fifty-three million, eight hundred fifty-seven thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 709 1418 2127 4254 6381 12762 19143 38286 2696909 5393818 8090727 16181454 24272181 48544362 72816543 145633086 1912108481 3824216962 5736325443 11472650886 17208976329 34417952658 51626928987 103253857974