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5052662640 = 2432522331469
BaseRepresentation
bin1001011010010100…
…11000001101110000
3111001010110212010100
410231022120031300
540321440201030
62153212032400
7236131631604
oct45512301560
914033425110
105052662640
112163107253
12b90162700
13626a39c0c
1435d08d504
151e88aa360
hex12d298370

5052662640 has 120 divisors (see below), whose sum is σ = 17045159040. Its totient is φ = 1341292032.

The previous prime is 5052662639. The next prime is 5052662653. The reversal of 5052662640 is 462662505.

5052662640 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 6 + 6 + 2 + 640 = 666.

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

It is a super-3 number, since 3×50526626403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5052662595 and 5052662604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144826 + ... + 176294.

It is an arithmetic number, because the mean of its divisors is an integer number (142042992).

Almost surely, 25052662640 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 5052662640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8522579520).

5052662640 is an abundant number, since it is smaller than the sum of its proper divisors (11992496400).

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

5052662640 is a wasteful number, since it uses less digits than its factorization.

5052662640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31711 (or 31702 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5052662640 is about 71082.0838186389. The cubic root of 5052662640 is about 1715.9584484698.

The spelling of 5052662640 in words is "five billion, fifty-two million, six hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 223 240 360 446 669 720 892 1115 1338 1784 2007 2230 2676 3345 3568 4014 4460 5352 6690 8028 8920 10035 10704 13380 16056 17840 20070 26760 31469 32112 40140 53520 62938 80280 94407 125876 157345 160560 188814 251752 283221 314690 377628 472035 503504 566442 629380 755256 944070 1132884 1258760 1416105 1510512 1888140 2265768 2517520 2832210 3776280 4531536 5664420 7017587 7552560 11328840 14035174 21052761 22657680 28070348 35087935 42105522 56140696 63158283 70175870 84211044 105263805 112281392 126316566 140351740 168422088 210527610 252633132 280703480 315791415 336844176 421055220 505266264 561406960 631582830 842110440 1010532528 1263165660 1684220880 2526331320 5052662640