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5031348624 = 24322322572
BaseRepresentation
bin1001010111110010…
…00100100110010000
3110222122100222210100
410223321010212100
540301011123444
62151131132400
7235452520611
oct45371044620
913878328710
105031348624
112152079765
12b84ba4100
136224b6683
1435a301c08
151e6a99e69
hex12be44990

5031348624 has 135 divisors (see below), whose sum is σ = 14777111713. Its totient is φ = 1597956096.

The previous prime is 5031348613. The next prime is 5031348631. The reversal of 5031348624 is 4268431305.

The square root of 5031348624 is 70932.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4953344400 + 78004224 = 70380^2 + 8832^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19577104 + ... + 19577360.

Almost surely, 25031348624 is an apocalyptic number.

5031348624 is the 70932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5031348624

5031348624 is an abundant number, since it is smaller than the sum of its proper divisors (9745763089).

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

5031348624 is a wasteful number, since it uses less digits than its factorization.

5031348624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The cubic root of 5031348624 is about 1713.5421967597.

Multiplying 5031348624 by its sum of digits (36), we get a square (181128550464 = 4255922).

5031348624 divided by its sum of digits (36) gives a square (139759684 = 118222).

Adding to 5031348624 its reverse (4268431305), we get a palindrome (9299779929).

The spelling of 5031348624 in words is "five billion, thirty-one million, three hundred forty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 257 276 368 414 514 529 552 771 828 1028 1058 1104 1542 1587 1656 2056 2116 2313 3084 3174 3312 4112 4232 4626 4761 5911 6168 6348 8464 9252 9522 11822 12336 12696 17733 18504 19044 23644 25392 35466 37008 38088 47288 53199 66049 70932 76176 94576 106398 132098 135953 141864 198147 212796 264196 271906 283728 396294 407859 425592 528392 543812 594441 792588 815718 851184 1056784 1087624 1188882 1223577 1519127 1585176 1631436 2175248 2377764 2447154 3038254 3170352 3262872 4557381 4755528 4894308 6076508 6525744 9114762 9511056 9788616 12153016 13672143 18229524 19577232 24306032 27344286 34939921 36459048 54688572 69879842 72918096 104819763 109377144 139759684 209639526 218754288 279519368 314459289 419279052 559038736 628918578 838558104 1257837156 1677116208 2515674312 5031348624