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85428183192 = 233111937460301
BaseRepresentation
bin100111110001111101…
…0101010000010011000
322011111122012100110220
41033203322222002120
52344424103330232
6103124542240040
76112663401402
oct1174372520230
9264448170426
1085428183192
1133258a894a0
1214681886020
1380958c2031
1441c5a59b72
15234ed0442c
hex13e3eaa098

85428183192 has 128 divisors (see below), whose sum is σ = 251877254400. Its totient is φ = 23861952000.

The previous prime is 85428183187. The next prime is 85428183271. The reversal of 85428183192 is 29138182458.

It is a super-2 number, since 2×854281831922 (a number of 23 digits) contains 22 as substring.

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, 44559 + ... + 415742.

It is an arithmetic number, because the mean of its divisors is an integer number (1967791050).

Almost surely, 285428183192 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 85428183192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125938627200).

85428183192 is an abundant number, since it is smaller than the sum of its proper divisors (166449071208).

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

85428183192 is a wasteful number, since it uses less digits than its factorization.

85428183192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460377 (or 460373 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The spelling of 85428183192 in words is "eighty-five billion, four hundred twenty-eight million, one hundred eighty-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 37 38 44 57 66 74 76 88 111 114 132 148 152 209 222 228 264 296 407 418 444 456 627 703 814 836 888 1221 1254 1406 1628 1672 2109 2442 2508 2812 3256 4218 4884 5016 5624 7733 8436 9768 15466 16872 23199 30932 46398 61864 92796 185592 460301 920602 1380903 1841204 2761806 3682408 5063311 5523612 8745719 10126622 11047224 15189933 17031137 17491438 20253244 26237157 30379866 34062274 34982876 40506488 51093411 52474314 60759732 68124548 69965752 96202909 102186822 104948628 121519464 136249096 187342507 192405818 204373644 209897256 288608727 323591603 374685014 384811636 408747288 562027521 577217454 647183206 749370028 769623272 970774809 1124055042 1154434908 1294366412 1498740056 1941549618 2248110084 2308869816 2588732824 3559507633 3883099236 4496220168 7119015266 7766198472 10678522899 14238030532 21357045798 28476061064 42714091596 85428183192