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11412223984 = 247573717761
BaseRepresentation
bin10101010000011100…
…01011011111110000
31002110100010001020101
422220032023133300
5141333012131414
65124231322144
7552543206020
oct125016133760
932410101211
1011412223984
1149269a2877
122265b20354
1310cb458b75
147a3937a80
1546bd69a74
hex2a838b7f0

11412223984 has 40 divisors (see below), whose sum is σ = 25275752288. Its totient is φ = 4889825280.

The previous prime is 11412223957. The next prime is 11412224003. The reversal of 11412223984 is 48932221411.

11412223984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633664 + ... + 651424.

Almost surely, 211412223984 is an apocalyptic number.

11412223984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11412223984 is an abundant number, since it is smaller than the sum of its proper divisors (13863528304).

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

11412223984 is a wasteful number, since it uses less digits than its factorization.

11412223984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23513 (or 23507 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The spelling of 11412223984 in words is "eleven billion, four hundred twelve million, two hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 5737 11474 17761 22948 35522 40159 45896 71044 80318 91792 124327 142088 160636 248654 284176 321272 497308 642544 994616 1989232 101894857 203789714 407579428 713263999 815158856 1426527998 1630317712 2853055996 5706111992 11412223984