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8309820672 = 28331202231
BaseRepresentation
bin1111011110100110…
…11100110100000000
3210110010101121222000
413233103130310000
5114004303230142
63452324144000
7412632211266
oct75723346400
923403347860
108309820672
11358474a29a
12173ab38000
13a2579bc6a
1458b8b6436
153397e914c
hex1ef4dcd00

8309820672 has 72 divisors (see below), whose sum is σ = 24573622080. Its totient is φ = 2769937920.

The previous prime is 8309820667. The next prime is 8309820691. The reversal of 8309820672 is 2760289038.

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

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, 594204 + ... + 608027.

Almost surely, 28309820672 is an apocalyptic number.

It is an amenable number.

8309820672 is an abundant number, since it is smaller than the sum of its proper divisors (16263801408).

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

8309820672 is a wasteful number, since it uses less digits than its factorization.

8309820672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202256 (or 1202236 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8309820672 is about 91158.2177974098. The cubic root of 8309820672 is about 2025.4920856235.

The spelling of 8309820672 in words is "eight billion, three hundred nine million, eight hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 1202231 2404462 3606693 4808924 7213386 9617848 10820079 14426772 19235696 21640158 28853544 32460237 38471392 43280316 57707088 64920474 76942784 86560632 115414176 129840948 153885568 173121264 230828352 259681896 307771136 346242528 461656704 519363792 692485056 923313408 1038727584 1384970112 2077455168 2769940224 4154910336 8309820672