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4645555920 = 2432527723293
BaseRepresentation
bin1000101001110010…
…11000111011010000
3102222202102200200200
410110321120323100
534003230242140
62044550215200
7223056400545
oct42471307320
912882380620
104645555920
111a74327a15
12a97954500
135905aa975
14320d98bcc
151c2c91030
hex114e58ed0

4645555920 has 120 divisors (see below), whose sum is σ = 15658319976. Its totient is φ = 1234289664.

The previous prime is 4645555919. The next prime is 4645555927. The reversal of 4645555920 is 295555464.

4645555920 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 55 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120033936 + 4525521984 = 10956^2 + 67272^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4645555927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187794 + ... + 211086.

Almost surely, 24645555920 is an apocalyptic number.

4645555920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4645555920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7829159988).

4645555920 is an abundant number, since it is smaller than the sum of its proper divisors (11012764056).

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

4645555920 is a wasteful number, since it uses less digits than its factorization.

4645555920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23589 (or 23580 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The square root of 4645555920 is about 68158.3151200204. The cubic root of 4645555920 is about 1668.5756341821.

The spelling of 4645555920 in words is "four billion, six hundred forty-five million, five hundred fifty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 277 360 554 720 831 1108 1385 1662 2216 2493 2770 3324 4155 4432 4986 5540 6648 8310 9972 11080 12465 13296 16620 19944 22160 23293 24930 33240 39888 46586 49860 66480 69879 93172 99720 116465 139758 186344 199440 209637 232930 279516 349395 372688 419274 465860 559032 698790 838548 931720 1048185 1118064 1397580 1677096 1863440 2096370 2795160 3354192 4192740 5590320 6452161 8385480 12904322 16770960 19356483 25808644 32260805 38712966 51617288 58069449 64521610 77425932 96782415 103234576 116138898 129043220 154851864 193564830 232277796 258086440 290347245 309703728 387129660 464555592 516172880 580694490 774259320 929111184 1161388980 1548518640 2322777960 4645555920