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5093635152 = 2434773157197
BaseRepresentation
bin1001011111001101…
…01011010001010000
3111010222120110211210
410233212223101100
540412432311102
62201234140120
7240140120154
oct45746532120
914128513753
105093635152
112184251531
12ba1a21640
136323842c8
143646b7064
151ec2a036c
hex12f9ab450

5093635152 has 160 divisors (see below), whose sum is σ = 13778975232. Its totient is φ = 1620283392.

The previous prime is 5093635147. The next prime is 5093635153. The reversal of 5093635152 is 2515363905.

It is a self number, because there is not a number n which added to its sum of digits gives 5093635152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5093635153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25855918 + ... + 25856114.

Almost surely, 25093635152 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 5093635152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6889487616).

5093635152 is an abundant number, since it is smaller than the sum of its proper divisors (8685340080).

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

5093635152 is a wasteful number, since it uses less digits than its factorization.

5093635152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The square root of 5093635152 is about 71369.7075235705. The cubic root of 5093635152 is about 1720.5842561753.

The spelling of 5093635152 in words is "five billion, ninety-three million, six hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 73 94 141 146 157 188 197 219 282 292 314 376 394 438 471 564 584 591 628 752 788 876 942 1128 1168 1182 1256 1576 1752 1884 2256 2364 2512 3152 3431 3504 3768 4728 6862 7379 7536 9259 9456 10293 11461 13724 14381 14758 18518 20586 22137 22922 27448 27777 28762 29516 30929 34383 37036 41172 43143 44274 45844 54896 55554 57524 59032 61858 68766 74072 82344 86286 88548 91688 92787 111108 115048 118064 123716 137532 148144 164688 172572 177096 183376 185574 222216 230096 247432 275064 345144 354192 371148 444432 494864 538667 550128 675907 690288 742296 1077334 1351814 1453663 1484592 1616001 2027721 2154668 2257817 2703628 2907326 3232002 4055442 4309336 4360989 4515634 5407256 5814652 6464004 6773451 8110884 8618672 8721978 9031268 10814512 11629304 12928008 13546902 16221768 17443956 18062536 23258608 25856016 27093804 32443536 34887912 36125072 54187608 69775824 106117399 108375216 212234798 318352197 424469596 636704394 848939192 1273408788 1697878384 2546817576 5093635152