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11742011976 = 2334159320123
BaseRepresentation
bin10101110111110000…
…01110001001001000
31010022022200000022110
422323320032021020
5143021423340401
65221052022320
7563656312032
oct127370161110
933268600273
1011742011976
114a86072432
1223384619a0
1311518862a6
147d5662c52
1548acae9d6
hex2bbe0e248

11742011976 has 64 divisors (see below), whose sum is σ = 30123213120. Its totient is φ = 3811911680.

The previous prime is 11742011917. The next prime is 11742012001. The reversal of 11742011976 is 67911024711.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573451 + ... + 593573.

It is an arithmetic number, because the mean of its divisors is an integer number (470675205).

Almost surely, 211742011976 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 11742011976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15061606560).

11742011976 is an abundant number, since it is smaller than the sum of its proper divisors (18381201144).

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

11742011976 is a wasteful number, since it uses less digits than its factorization.

11742011976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20766 (or 20762 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The spelling of 11742011976 in words is "eleven billion, seven hundred forty-two million, eleven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 593 984 1186 1779 2372 3558 4744 7116 14232 20123 24313 40246 48626 60369 72939 80492 97252 120738 145878 160984 194504 241476 291756 482952 583512 825043 1650086 2475129 3300172 4950258 6600344 9900516 11932939 19801032 23865878 35798817 47731756 71597634 95463512 143195268 286390536 489250499 978500998 1467751497 1957001996 2935502994 3914003992 5871005988 11742011976