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5120412752 = 2471319271683
BaseRepresentation
bin1001100010011001…
…10100110001010000
3111012211221220210202
410301030310301100
540441311202002
62204032114332
7240613535030
oct46114646120
914184856722
105120412752
112198380984
12baa9959a8
13637a9b640
143680878c0
151ee7de502
hex131334c50

5120412752 has 160 divisors (see below), whose sum is σ = 12919173120. Its totient is φ = 1909163520.

The previous prime is 5120412751. The next prime is 5120412769. The reversal of 5120412752 is 2572140215.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5120412751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7496603 + ... + 7497285.

It is an arithmetic number, because the mean of its divisors is an integer number (80744832).

Almost surely, 25120412752 is an apocalyptic number.

5120412752 is a gapful number since it is divisible by the number (52) 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 5120412752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459586560).

5120412752 is an abundant number, since it is smaller than the sum of its proper divisors (7798760368).

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

5120412752 is a wasteful number, since it uses less digits than its factorization.

5120412752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 5120412752 is about 71557.0594141487. The cubic root of 5120412752 is about 1723.5940657407.

Adding to 5120412752 its reverse (2572140215), we get a palindrome (7692552967).

The spelling of 5120412752 in words is "five billion, one hundred twenty million, four hundred twelve thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 208 247 266 271 304 364 494 532 542 683 728 988 1064 1084 1366 1456 1729 1897 1976 2128 2168 2732 3458 3523 3794 3952 4336 4781 5149 5464 6916 7046 7588 8879 9562 10298 10928 12977 13832 14092 15176 17758 19124 20596 24661 25954 27664 28184 30352 35516 36043 38248 41192 49322 51908 56368 62153 66937 71032 72086 76496 82384 90839 98644 103816 124306 133874 142064 144172 168701 181678 185093 197288 207632 248612 267748 288344 337402 363356 370186 394576 468559 497224 535496 576688 674804 726712 740372 937118 994448 1070992 1180907 1295651 1349608 1453424 1480744 1874236 2361814 2406209 2591302 2699216 2961488 3516767 3748472 4723628 4812418 5182604 7033534 7496944 9447256 9624836 10365208 14067068 16843463 18894512 19249672 20730416 24617369 28134136 33686926 38499344 45717971 49234738 56268272 67373852 91435942 98469476 134747704 182871884 196938952 269495408 320025797 365743768 393877904 640051594 731487536 1280103188 2560206376 5120412752