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69227042221152 = 25321039231349061
BaseRepresentation
bin11111011110110001011010…
…10000101010110001100000
3100002010001002121012012101100
433233120231100222301200
533033203440302034102
6403122244131434400
720403326432642634
oct1757305520526140
9302101077165340
1069227042221152
1120070029652432
1279207b8455a00
132c8210b40172a
14131486cbb2dc4
15800b4a828a1c
hex3ef62d42ac60

69227042221152 has 72 divisors (see below), whose sum is σ = 197053877049120. Its totient is φ = 23053471130880.

The previous prime is 69227042221147. The next prime is 69227042221157. The reversal of 69227042221152 is 25112224072296.

69227042221152 is a `hidden beast` number, since 6 + 9 + 2 + 2 + 7 + 0 + 422 + 211 + 5 + 2 = 666.

69227042221152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (69227042221147) and next prime (69227042221157).

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

It is a junction number, because it is equal to n+sod(n) for n = 69227042221098 and 69227042221107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69227042221157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115375299 + ... + 115973762.

It is an arithmetic number, because the mean of its divisors is an integer number (2736859403460).

Almost surely, 269227042221152 is an apocalyptic number.

It is an amenable number.

69227042221152 is an abundant number, since it is smaller than the sum of its proper divisors (127826834827968).

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

69227042221152 is a wasteful number, since it uses less digits than its factorization.

69227042221152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231350116 (or 231350105 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 69227042221152 in words is "sixty-nine trillion, two hundred twenty-seven billion, forty-two million, two hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1039 2078 3117 4156 6234 8312 9351 12468 16624 18702 24936 33248 37404 49872 74808 99744 149616 299232 231349061 462698122 694047183 925396244 1388094366 1850792488 2082141549 2776188732 3701584976 4164283098 5552377464 7403169952 8328566196 11104754928 16657132392 22209509856 33314264784 66628529568 240371674379 480743348758 721115023137 961486697516 1442230046274 1922973395032 2163345069411 2884460092548 3845946790064 4326690138822 5768920185096 7691893580128 8653380277644 11537840370192 17306760555288 23075680740384 34613521110576 69227042221152