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85412157720 = 233519317472111
BaseRepresentation
bin100111110001011110…
…1100001100100011000
322011110112001011122220
41033202331201210120
52344411003021340
6103123210544040
76112410235041
oct1174275414430
9264415034586
1085412157720
113324aa332aa
1214678438020
1380924a09c6
1441c38878c8
15234d6daed0
hex13e2f61918

85412157720 has 128 divisors (see below), whose sum is σ = 257833635840. Its totient is φ = 22634864640.

The previous prime is 85412157689. The next prime is 85412157757. The reversal of 85412157720 is 2775121458.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40459465 + ... + 40461575.

It is an arithmetic number, because the mean of its divisors is an integer number (2014325280).

Almost surely, 285412157720 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 85412157720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128916817920).

85412157720 is an abundant number, since it is smaller than the sum of its proper divisors (172421478120).

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

85412157720 is a wasteful number, since it uses less digits than its factorization.

85412157720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The spelling of 85412157720 in words is "eighty-five billion, four hundred twelve million, one hundred fifty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 579 772 965 1158 1544 1747 1930 2111 2316 2895 3494 3860 4222 4632 5241 5790 6333 6988 7720 8444 8735 10482 10555 11580 12666 13976 16888 17470 20964 21110 23160 25332 26205 31665 34940 41928 42220 50664 52410 63330 69880 84440 104820 126660 209640 253320 337171 407423 674342 814846 1011513 1222269 1348684 1629692 1685855 2023026 2037115 2444538 2697368 3259384 3371710 3687917 4046052 4074230 4889076 5057565 6111345 6743420 7375834 8092104 8148460 9778152 10115130 11063751 12222690 13486840 14751668 16296920 18439585 20230260 22127502 24445380 29503336 36879170 40460520 44255004 48890760 55318755 73758340 88510008 110637510 147516680 221275020 442550040 711767981 1423535962 2135303943 2847071924 3558839905 4270607886 5694143848 7117679810 8541215772 10676519715 14235359620 17082431544 21353039430 28470719240 42706078860 85412157720