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9052773930 = 23256113911863
BaseRepresentation
bin10000110111001011…
…00101111000101010
3212100220101120020100
420123211211320222
5122020002231210
64054144210230
7440223210624
oct103345457052
925326346210
109052773930
113926067052
121907909976
13b1369a185
1461c431c14
1537eb535c0
hex21b965e2a

9052773930 has 96 divisors (see below), whose sum is σ = 24097207680. Its totient is φ = 2357216640.

The previous prime is 9052773889. The next prime is 9052773937. The reversal of 9052773930 is 393772509.

9052773930 is a `hidden beast` number, since 90 + 527 + 7 + 3 + 9 + 30 = 666.

9052773930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9052773937) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 757179 + ... + 769041.

It is an arithmetic number, because the mean of its divisors is an integer number (251012580).

Almost surely, 29052773930 is an apocalyptic number.

9052773930 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9052773930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12048603840).

9052773930 is an abundant number, since it is smaller than the sum of its proper divisors (15044433750).

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

9052773930 is a wasteful number, since it uses less digits than its factorization.

9052773930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12076 (or 12073 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The square root of 9052773930 is about 95146.0662875770. The cubic root of 9052773930 is about 2084.1416130806.

The spelling of 9052773930 in words is "nine billion, fifty-two million, seven hundred seventy-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 139 183 278 305 366 417 549 610 695 834 915 1098 1251 1390 1830 2085 2502 2745 4170 5490 6255 8479 11863 12510 16958 23726 25437 35589 42395 50874 59315 71178 76311 84790 106767 118630 127185 152622 177945 213534 254370 355890 381555 533835 723643 763110 1067670 1447286 1648957 2170929 3297914 3618215 4341858 4946871 6512787 7236430 8244785 9893742 10854645 13025574 14840613 16489570 21709290 24734355 29681226 32563935 49468710 65127870 74203065 100586377 148406130 201172754 301759131 502931885 603518262 905277393 1005863770 1508795655 1810554786 3017591310 4526386965 9052773930