Search a number
-
+
31874753304 = 23325918674019
BaseRepresentation
bin11101101011111000…
…100010001100011000
310001021101222020102200
4131223320202030120
51010234414101204
622350522330200
72205612634632
oct355370421430
9101241866380
1031874753304
1112577515a29
126216959960
13300c8c9394
14178541da52
15c684eb539
hex76be22318

31874753304 has 96 divisors (see below), whose sum is σ = 87859512000. Its totient is φ = 10436642496.

The previous prime is 31874753219. The next prime is 31874753311. The reversal of 31874753304 is 40335747813.

31874753304 is a `hidden beast` number, since 31 + 87 + 4 + 7 + 533 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31874753304.

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 23 ways as a sum of consecutive naturals, for example, 7929007 + ... + 7933025.

It is an arithmetic number, because the mean of its divisors is an integer number (915203250).

Almost surely, 231874753304 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 31874753304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43929756000).

31874753304 is an abundant number, since it is smaller than the sum of its proper divisors (55984758696).

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

31874753304 is a wasteful number, since it uses less digits than its factorization.

31874753304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 31874753304 in words is "thirty-one billion, eight hundred seventy-four million, seven hundred fifty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 1867 2124 3734 4019 4248 5601 7468 8038 11202 12057 14936 16076 16803 22404 24114 32152 33606 36171 44808 48228 67212 72342 96456 110153 134424 144684 220306 237121 289368 330459 440612 474242 660918 711363 881224 948484 991377 1321836 1422726 1896968 1982754 2134089 2643672 2845452 3965508 4268178 5690904 7503473 7931016 8536356 15006946 17072712 22510419 30013892 45020838 60027784 67531257 90041676 135062514 180083352 270125028 442704907 540250056 885409814 1328114721 1770819628 2656229442 3541639256 3984344163 5312458884 7968688326 10624917768 15937376652 31874753304