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5035015040 = 275113123071
BaseRepresentation
bin1001011000001110…
…00011101110000000
3110222220021021011112
410230013003232000
540302430440130
62151341502452
7235525631066
oct45407035600
913886237145
105035015040
112154153360
12b86271a28
1362319b453
1435a9b8036
151e7071495
hex12c1c3b80

5035015040 has 128 divisors (see below), whose sum is σ = 13555261440. Its totient is φ = 1771776000.

The previous prime is 5035014997. The next prime is 5035015081. The reversal of 5035015040 is 405105305.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 5035014997 and 5035015015.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 206705 + ... + 229775.

It is an arithmetic number, because the mean of its divisors is an integer number (105900480).

Almost surely, 25035015040 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 5035015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777630720).

5035015040 is an abundant number, since it is smaller than the sum of its proper divisors (8520246400).

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

5035015040 is a wasteful number, since it uses less digits than its factorization.

5035015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23132 (or 23120 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 5035015040 is about 70957.8398769297. The cubic root of 5035015040 is about 1713.9583232996.

The spelling of 5035015040 in words is "five billion, thirty-five million, fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 128 155 160 176 220 248 310 320 341 352 440 496 620 640 682 704 880 992 1240 1364 1408 1705 1760 1984 2480 2728 3410 3520 3968 4960 5456 6820 7040 9920 10912 13640 19840 21824 23071 27280 43648 46142 54560 92284 109120 115355 184568 218240 230710 253781 369136 461420 507562 715201 738272 922840 1015124 1268905 1430402 1476544 1845680 2030248 2537810 2860804 2953088 3576005 3691360 4060496 5075620 5721608 7152010 7382720 7867211 8120992 10151240 11443216 14304020 14765440 15734422 16241984 20302480 22886432 28608040 31468844 32483968 39336055 40604960 45772864 57216080 62937688 78672110 81209920 91545728 114432160 125875376 157344220 162419840 228864320 251750752 314688440 457728640 503501504 629376880 1007003008 1258753760 2517507520 5035015040