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311421093192 = 2332111968719973
BaseRepresentation
bin1001000100000100010…
…01001100010101001000
31002202211110201200020200
410202002021030111020
520100242244440232
6355022002452200
731333206421206
oct4420211142510
91082743650220
10311421093192
111100890a76a0
1250432364060
13234a0071711
1411103d08076
15817a1cb77c
hex488224c548

311421093192 has 96 divisors (see below), whose sum is σ = 920200582080. Its totient is φ = 94360510080.

The previous prime is 311421093163. The next prime is 311421093197. The reversal of 311421093192 is 291390124113.

It is a happy number.

311421093192 is a `hidden beast` number, since 311 + 4 + 21 + 0 + 9 + 319 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (311421093197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15582118 + ... + 15602090.

It is an arithmetic number, because the mean of its divisors is an integer number (9585422730).

Almost surely, 2311421093192 is an apocalyptic number.

It is an amenable number.

311421093192 is an abundant number, since it is smaller than the sum of its proper divisors (608779488888).

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

311421093192 is a wasteful number, since it uses less digits than its factorization.

311421093192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39683 (or 39676 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 311421093192 in words is "three hundred eleven billion, four hundred twenty-one million, ninety-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 19687 19973 39374 39946 59061 59919 78748 79892 118122 119838 157496 159784 177183 179757 216557 219703 236244 239676 354366 359514 433114 439406 472488 479352 649671 659109 708732 719028 866228 878812 1299342 1318218 1417464 1438056 1732456 1757624 1949013 1977327 2598684 2636436 3898026 3954654 5197368 5272872 7796052 7909308 15592104 15818616 393208451 786416902 1179625353 1572833804 2359250706 3145667608 3538876059 4325292961 4718501412 7077752118 8650585922 9437002824 12975878883 14155504236 17301171844 25951757766 28311008472 34602343688 38927636649 51903515532 77855273298 103807031064 155710546596 311421093192