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85374769380 = 2235157257727
BaseRepresentation
bin100111110000010111…
…0111001100011100100
322011100220200122111120
41033200232321203210
52344321420110010
6103115353333540
76111444365115
oct1174056714344
9264326618446
1085374769380
113323091694a
1214667a072b0
13808780cb24
1441bc91420c
15234a2a2e70
hex13e0bb98e4

85374769380 has 72 divisors (see below), whose sum is σ = 240585827328. Its totient is φ = 22621203072.

The previous prime is 85374769349. The next prime is 85374769393. The reversal of 85374769380 is 8396747358.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1450077 + ... + 1507803.

It is an arithmetic number, because the mean of its divisors is an integer number (3341469824).

Almost surely, 285374769380 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 85374769380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120292913664).

85374769380 is an abundant number, since it is smaller than the sum of its proper divisors (155211057948).

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

85374769380 is a wasteful number, since it uses less digits than its factorization.

85374769380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58053 (or 57894 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 85374769380 in words is "eighty-five billion, three hundred seventy-four million, seven hundred sixty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 9420 24649 49298 57727 73947 98596 115454 123245 147894 173181 230908 246490 288635 295788 346362 369735 492980 577270 692724 739470 865905 1154540 1478940 1731810 3463620 9063139 18126278 27189417 36252556 45315695 54378834 90631390 108757668 135947085 181262780 271894170 543788340 1422912823 2845825646 4268738469 5691651292 7114564115 8537476938 14229128230 17074953876 21343692345 28458256460 42687384690 85374769380