Search a number
-
+
4119608696742 = 2327112972300647
BaseRepresentation
bin111011111100101011110…
…100000001111110100110
3112120211102121120001021100
4323330223310001332212
51014443424311243432
612432304435300530
7603426513104520
oct73745364017646
915524377501240
104119608696742
111349130790870
125664a874a746
1323b628bc7ac6
14103566706a10
157226191907c
hex3bf2bd01fa6

4119608696742 has 48 divisors (see below), whose sum is σ = 11128293626112. Its totient is φ = 1070028232560.

The previous prime is 4119608696681. The next prime is 4119608696743. The reversal of 4119608696742 is 2476968069114.

4119608696742 is a `hidden beast` number, since 4 + 1 + 19 + 608 + 6 + 9 + 6 + 7 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4119608696742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4119608696743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1486148938 + ... + 1486151709.

It is an arithmetic number, because the mean of its divisors is an integer number (231839450544).

Almost surely, 24119608696742 is an apocalyptic number.

4119608696742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4119608696742 is an abundant number, since it is smaller than the sum of its proper divisors (7008684929370).

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

4119608696742 is a wasteful number, since it uses less digits than its factorization.

4119608696742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972300673 (or 2972300670 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 4119608696742 in words is "four trillion, one hundred nineteen billion, six hundred eight million, six hundred ninety-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 2972300647 5944601294 8916901941 17833803882 20806104529 26750705823 32695307117 41612209058 53501411646 62418313587 65390614234 98085921351 124836627174 187254940761 196171842702 228867149819 294257764053 374509881522 457734299638 588515528106 686601449457 1373202898914 2059804348371 4119608696742