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10101884472 = 2332863162577
BaseRepresentation
bin10010110100001111…
…01000011000111000
3222002000110220100100
421122013220120320
5131142040300342
64350222235400
7505222413141
oct113207503070
928060426310
1010101884472
114314283359
121b5b125b60
13c4cb40944
146bb8c4ac8
153e1cd5e4c
hex25a1e8638

10101884472 has 48 divisors (see below), whose sum is σ = 27391141440. Its totient is φ = 3363372288.

The previous prime is 10101884437. The next prime is 10101884477. The reversal of 10101884472 is 27448810101.

10101884472 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 188 + 4 + 472 = 666.

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 (10101884477) 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, 19153 + ... + 143424.

It is an arithmetic number, because the mean of its divisors is an integer number (570648780).

Almost surely, 210101884472 is an apocalyptic number.

10101884472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101884472 is an abundant number, since it is smaller than the sum of its proper divisors (17289256968).

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

10101884472 is a wasteful number, since it uses less digits than its factorization.

10101884472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163452 (or 163445 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 10101884472 in words is "ten billion, one hundred one million, eight hundred eighty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 863 1726 2589 3452 5178 6904 7767 10356 15534 20712 31068 62136 162577 325154 487731 650308 975462 1300616 1463193 1950924 2926386 3901848 5852772 11705544 140303951 280607902 420911853 561215804 841823706 1122431608 1262735559 1683647412 2525471118 3367294824 5050942236 10101884472