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11142099984 = 24310319311677
BaseRepresentation
bin10100110000001111…
…01111010000010000
31001202111211022202210
422120013233100100
5140304334144414
65041341512120
7543053200341
oct123007572020
931674738683
1011142099984
1147a84746a4
1221ab572640
1310874bb792
14779b000c8
154532ace59
hex2981ef410

11142099984 has 80 divisors (see below), whose sum is σ = 29216300672. Its totient is φ = 3658604544.

The previous prime is 11142099923. The next prime is 11142100001. The reversal of 11142099984 is 48999024111.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 948354 + ... + 960030.

Almost surely, 211142099984 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 11142099984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608150336).

11142099984 is an abundant number, since it is smaller than the sum of its proper divisors (18074200688).

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

11142099984 is a wasteful number, since it uses less digits than its factorization.

11142099984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11984 (or 11978 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 11142099984 in words is "eleven billion, one hundred forty-two million, ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 193 206 309 386 412 579 618 772 824 1158 1236 1544 1648 2316 2472 3088 4632 4944 9264 11677 19879 23354 35031 39758 46708 59637 70062 79516 93416 119274 140124 159032 186832 238548 280248 318064 477096 560496 954192 1202731 2253661 2405462 3608193 4507322 4810924 6760983 7216386 9014644 9621848 13521966 14432772 18029288 19243696 27043932 28865544 36058576 54087864 57731088 108175728 232127083 464254166 696381249 928508332 1392762498 1857016664 2785524996 3714033328 5571049992 11142099984