Search a number
-
+
32131000986 = 23721514791511
BaseRepresentation
bin11101111011001010…
…000010101010011010
310001221021010222011120
4131323022002222122
51011301014012421
622432154510110
72215144000500
oct357312025232
9101837128146
1032131000986
1112699126677
126288735336
133050a18726
1417ab484670
15c80c668c6
hex77b282a9a

32131000986 has 96 divisors (see below), whose sum is σ = 75455815680. Its totient is φ = 9094428000.

The previous prime is 32131000973. The next prime is 32131000997. The reversal of 32131000986 is 68900013123.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21263971 + ... + 21265481.

It is an arithmetic number, because the mean of its divisors is an integer number (785998080).

Almost surely, 232131000986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32131000986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37727907840).

32131000986 is an abundant number, since it is smaller than the sum of its proper divisors (43324814694).

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

32131000986 is a wasteful number, since it uses less digits than its factorization.

32131000986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 32131000986 in words is "thirty-two billion, one hundred thirty-one million, nine hundred eighty-six", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 42 49 98 147 151 294 302 453 479 906 958 1057 1437 1511 2114 2874 3022 3171 3353 4533 6342 6706 7399 9066 10059 10577 14798 20118 21154 22197 23471 31731 44394 46942 63462 70413 72329 74039 140826 144658 148078 216987 222117 228161 433974 444234 456322 506303 684483 723769 1012606 1368966 1447538 1518909 1597127 2171307 3037818 3194254 3544121 4342614 4791381 5066383 7088242 9582762 10132766 10632363 11179889 15199149 21264726 22359778 30398298 33539667 35464681 67079334 70929362 106394043 109289119 212788086 218578238 327867357 655734714 765023833 1530047666 2295071499 4590142998 5355166831 10710333662 16065500493 32131000986