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8453605344 = 253712335323
BaseRepresentation
bin1111101111101111…
…11100011111100000
3210211010221122110020
413313313330133200
5114303110332334
63514502033440
7416326313502
oct76767743740
923733848406
108453605344
1136489268a8
12177b118880
13a49502b52
145a2a23d72
1534724be49
hex1f7dfc7e0

8453605344 has 96 divisors (see below), whose sum is σ = 22604085504. Its totient is φ = 2765736960.

The previous prime is 8453605337. The next prime is 8453605399. The reversal of 8453605344 is 4435063548.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8453605296 and 8453605305.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1585467 + ... + 1590789.

It is an arithmetic number, because the mean of its divisors is an integer number (235459224).

Almost surely, 28453605344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8453605344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11302042752).

8453605344 is an abundant number, since it is smaller than the sum of its proper divisors (14150480160).

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

8453605344 is a wasteful number, since it uses less digits than its factorization.

8453605344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5640 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The square root of 8453605344 is about 91943.4899489899. The cubic root of 8453605344 is about 2037.1076967060.

The spelling of 8453605344 in words is "eight billion, four hundred fifty-three million, six hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 233 284 426 466 568 699 852 932 1136 1398 1704 1864 2272 2796 3408 3728 5323 5592 6816 7456 10646 11184 15969 16543 21292 22368 31938 33086 42584 49629 63876 66172 85168 99258 127752 132344 170336 198516 255504 264688 377933 397032 511008 529376 755866 794064 1133799 1240259 1511732 1588128 2267598 2480518 3023464 3720777 4535196 4961036 6046928 7441554 9070392 9922072 12093856 14883108 18140784 19844144 29766216 36281568 39688288 59532432 88058389 119064864 176116778 264175167 352233556 528350334 704467112 1056700668 1408934224 2113401336 2817868448 4226802672 8453605344