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11435091976 = 23721123115301
BaseRepresentation
bin10101010011001010…
…11010100000001000
31002111221010212020001
422221211122200020
5141404340420401
65130405412344
7553241451400
oct125145324010
932457125201
1011435091976
1149388a1940
12227170a0b4
131103104819
147a69ab800
1546dd85601
hex2a995a808

11435091976 has 96 divisors (see below), whose sum is σ = 28391964480. Its totient is φ = 4261488000.

The previous prime is 11435091949. The next prime is 11435091989. The reversal of 11435091976 is 67919053411.

It is a super-2 number, since 2×114350919762 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41526 + ... + 156826.

It is an arithmetic number, because the mean of its divisors is an integer number (295749630).

Almost surely, 211435091976 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 11435091976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14195982240).

11435091976 is an abundant number, since it is smaller than the sum of its proper divisors (16956872504).

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

11435091976 is a wasteful number, since it uses less digits than its factorization.

11435091976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115355 (or 115344 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 46.

The spelling of 11435091976 in words is "eleven billion, four hundred thirty-five million, ninety-one thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 49 56 77 88 92 98 154 161 184 196 253 308 322 392 506 539 616 644 1012 1078 1127 1288 1771 2024 2156 2254 3542 4312 4508 7084 9016 12397 14168 24794 49588 99176 115301 230602 461204 807107 922408 1268311 1614214 2536622 2651923 3228428 5073244 5303846 5649749 6456856 8878177 10146488 10607692 11299498 17756354 18563461 21215384 22598996 29171153 35512708 37126922 45197992 58342306 62147239 71025416 74253844 116684612 124294478 129944227 148507688 204198071 233369224 248588956 259888454 408396142 497177912 519776908 816792284 1039553816 1429386497 1633584568 2858772994 5717545988 11435091976