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5112017676 = 2233314335509
BaseRepresentation
bin1001100001011001…
…10011001100001100
3111012021011101221000
410300230303030030
540432134031201
62203132140300
7240452301423
oct46054631414
914167141830
105112017676
1121936675a7
12ba8007690
1363611c43c
14366d002ba
151edbd1d86
hex130b3330c

5112017676 has 96 divisors (see below), whose sum is σ = 13999462400. Its totient is φ = 1610642880.

The previous prime is 5112017663. The next prime is 5112017693. The reversal of 5112017676 is 6767102115.

5112017676 is a `hidden beast` number, since 511 + 2 + 0 + 1 + 76 + 76 = 666.

It is a super-2 number, since 2×51120176762 = 52265449439472881952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5112017676.

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, 126210 + ... + 161718.

Almost surely, 25112017676 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 5112017676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999731200).

5112017676 is an abundant number, since it is smaller than the sum of its proper divisors (8887444724).

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

5112017676 is a wasteful number, since it uses less digits than its factorization.

5112017676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35596 (or 35588 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 5112017676 is about 71498.3753381851. The cubic root of 5112017676 is about 1722.6515884490.

The spelling of 5112017676 in words is "five billion, one hundred twelve million, seventeen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 43 54 62 86 93 108 124 129 172 186 258 279 372 387 516 558 774 837 1116 1161 1333 1548 1674 2322 2666 3348 3999 4644 5332 7998 11997 15996 23994 35509 35991 47988 71018 71982 106527 142036 143964 213054 319581 426108 639162 958743 1100779 1278324 1526887 1917486 2201558 3053774 3302337 3834972 4403116 4580661 6107548 6604674 9161322 9907011 13209348 13741983 18322644 19814022 27483966 29721033 39628044 41225949 47333497 54967932 59442066 82451898 94666994 118884132 142000491 164903796 189333988 284000982 426001473 568001964 852002946 1278004419 1704005892 2556008838 5112017676