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116661996 = 2232111511951
BaseRepresentation
bin1101111010000…
…01111011101100
322010112001011200
412331001323230
5214331140441
615324245500
72614416303
oct675017354
9263461150
10116661996
115a941980
12330a0890
131b228789
14116cb43a
15a3967b6
hex6f41eec

116661996 has 72 divisors (see below), whose sum is σ = 324000768. Its totient is φ = 35100000.

The previous prime is 116661953. The next prime is 116662019. The reversal of 116661996 is 699166611.

It is a super-2 number, since 2×1166619962 = 27220042621408032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58821 + ... + 60771.

Almost surely, 2116661996 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 116661996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162000384).

116661996 is an abundant number, since it is smaller than the sum of its proper divisors (207338772).

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

116661996 is a wasteful number, since it uses less digits than its factorization.

116661996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2118 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 116661996 is about 10801.0182853285. The cubic root of 116661996 is about 488.6258821893.

The spelling of 116661996 in words is "one hundred sixteen million, six hundred sixty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 151 198 302 396 453 604 906 1359 1661 1812 1951 2718 3322 3902 4983 5436 5853 6644 7804 9966 11706 14949 17559 19932 21461 23412 29898 35118 42922 59796 64383 70236 85844 128766 193149 257532 294601 386298 589202 772596 883803 1178404 1767606 2651409 3240611 3535212 5302818 6481222 9721833 10605636 12962444 19443666 29165499 38887332 58330998 116661996