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11133506440 = 2357179222137
BaseRepresentation
bin10100101111001101…
…11101001110001000
31001201220122201122101
422113212331032020
5140300134201230
65040433403144
7542620146310
oct122746751610
931656581571
1011133506440
1147a36351a1
1221a87094b4
1310857a0144
14778904440
15452661aca
hex2979bd388

11133506440 has 64 divisors (see below), whose sum is σ = 28789084800. Its totient is φ = 3795859968.

The previous prime is 11133506413. The next prime is 11133506467. The reversal of 11133506440 is 4460533111.

It is an interprime number because it is at equal distance from previous prime (11133506413) and next prime (11133506467).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11133506399 and 11133506408.

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, 60949 + ... + 161188.

It is an arithmetic number, because the mean of its divisors is an integer number (449829450).

Almost surely, 211133506440 is an apocalyptic number.

11133506440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133506440 is an abundant number, since it is smaller than the sum of its proper divisors (17655578360).

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

11133506440 is a wasteful number, since it uses less digits than its factorization.

11133506440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222334 (or 222330 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 11133506440 in words is "eleven billion, one hundred thirty-three million, five hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 179 280 358 716 895 1253 1432 1790 2506 3580 5012 6265 7160 10024 12530 25060 50120 222137 444274 888548 1110685 1554959 1777096 2221370 3109918 4442740 6219836 7774795 8885480 12439672 15549590 31099180 39762523 62198360 79525046 159050092 198812615 278337661 318100184 397625230 556675322 795250460 1113350644 1391688305 1590500920 2226701288 2783376610 5566753220 11133506440