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11906213472 = 2532211195929
BaseRepresentation
bin10110001011010101…
…00110011001100000
31010201202122022102100
423011222212121200
5143340442312342
65245235250400
7601022100426
oct130552463140
933652568370
1011906213472
11505a82444a
122383449a00
1311798b823a
1480d3a7116
1549a3e6e4c
hex2c5aa6660

11906213472 has 72 divisors (see below), whose sum is σ = 34018934040. Its totient is φ = 3949908480.

The previous prime is 11906213471. The next prime is 11906213507. The reversal of 11906213472 is 27431260911.

11906213472 is a `hidden beast` number, since 119 + 0 + 62 + 13 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11906213471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37197 + ... + 158732.

It is an arithmetic number, because the mean of its divisors is an integer number (472485195).

Almost surely, 211906213472 is an apocalyptic number.

11906213472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11906213472 is an abundant number, since it is smaller than the sum of its proper divisors (22112720568).

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

11906213472 is a wasteful number, since it uses less digits than its factorization.

11906213472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196156 (or 196145 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11906213472 in words is "eleven billion, nine hundred six million, two hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 211 288 422 633 844 1266 1688 1899 2532 3376 3798 5064 6752 7596 10128 15192 20256 30384 60768 195929 391858 587787 783716 1175574 1567432 1763361 2351148 3134864 3526722 4702296 6269728 7053444 9404592 14106888 18809184 28213776 41341019 56427552 82682038 124023057 165364076 248046114 330728152 372069171 496092228 661456304 744138342 992184456 1322912608 1488276684 1984368912 2976553368 3968737824 5953106736 11906213472