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5032766520 = 2334510871429
BaseRepresentation
bin1001010111111100…
…11110110000111000
3110222202001000210000
410223332132300320
540301342012040
62151221353000
7235500544455
oct45376366070
913882030700
105032766520
112152957a81
12b85568760
13622891b72
1435a59082c
151e6c7a130
hex12bf9ec38

5032766520 has 160 divisors (see below), whose sum is σ = 16943097600. Its totient is φ = 1339898112.

The previous prime is 5032766489. The next prime is 5032766521. The reversal of 5032766520 is 256672305.

It is a happy number.

5032766520 is a `hidden beast` number, since 50 + 3 + 27 + 66 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5032766521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3521166 + ... + 3522594.

It is an arithmetic number, because the mean of its divisors is an integer number (105894360).

Almost surely, 25032766520 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 5032766520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8471548800).

5032766520 is an abundant number, since it is smaller than the sum of its proper divisors (11910331080).

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

5032766520 is a wasteful number, since it uses less digits than its factorization.

5032766520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5032766520 is about 70941.9940514784. The cubic root of 5032766520 is about 1713.7031474055.

It can be divided in two parts, 503276 and 6520, that added together give a square (509796 = 7142).

The spelling of 5032766520 in words is "five billion, thirty-two million, seven hundred sixty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1087 1429 1620 2174 2858 3240 3261 4287 4348 5435 5716 6522 7145 8574 8696 9783 10870 11432 12861 13044 14290 16305 17148 19566 21435 21740 25722 26088 28580 29349 32610 34296 38583 39132 42870 43480 48915 51444 57160 58698 64305 65220 77166 78264 85740 88047 97830 102888 115749 117396 128610 130440 146745 154332 171480 176094 192915 195660 231498 234792 257220 293490 308664 352188 385830 391320 440235 462996 514440 578745 586980 704376 771660 880470 925992 1157490 1173960 1543320 1553323 1760940 2314980 3106646 3521880 4629960 4659969 6213292 7766615 9319938 12426584 13979907 15533230 18639876 23299845 27959814 31066460 37279752 41939721 46599690 55919628 62132920 69899535 83879442 93199380 111839256 125819163 139799070 167758884 186398760 209698605 251638326 279598140 335517768 419397210 503276652 559196280 629095815 838794420 1006553304 1258191630 1677588840 2516383260 5032766520