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85183416774 = 23317312993303
BaseRepresentation
bin100111101010101010…
…0111100100111000110
322010212120121221002000
41033111110330213012
52343423423314044
6103044400130130
76103632044601
oct1172524744706
9263776557060
1085183416774
11331428aa8a5
1214613906946
138056c92831
1441a1343338
1523385a5d69
hex13d553c9c6

85183416774 has 64 divisors (see below), whose sum is σ = 206897172480. Its totient is φ = 25862129280.

The previous prime is 85183416767. The next prime is 85183416779. The reversal of 85183416774 is 47761438158.

85183416774 is a `hidden beast` number, since 85 + 1 + 83 + 416 + 7 + 74 = 666.

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 85183416774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85183416779) 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, 1468194 + ... + 1525109.

It is an arithmetic number, because the mean of its divisors is an integer number (3232768320).

Almost surely, 285183416774 is an apocalyptic number.

85183416774 is an abundant number, since it is smaller than the sum of its proper divisors (121713755706).

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

85183416774 is a wasteful number, since it uses less digits than its factorization.

85183416774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993362 (or 2993356 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 85183416774 in words is "eighty-five billion, one hundred eighty-three million, four hundred sixteen thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 306 459 527 558 837 918 1054 1581 1674 3162 4743 9486 14229 28458 2993303 5986606 8979909 17959818 26939727 50886151 53879454 80819181 92792393 101772302 152658453 161638362 185584786 278377179 305316906 457975359 556754358 835131537 915950718 1373926077 1577470681 1670263074 2505394611 2747852154 3154941362 4732412043 5010789222 9464824086 14197236129 28394472258 42591708387 85183416774