Search a number
-
+
3135606352 = 243153181659
BaseRepresentation
bin1011101011100101…
…1000111001010000
322002112012022021121
42322321120321100
522410203400402
61235050532024
7140463133324
oct27271307120
98075168247
103135606352
111369a7150a
12736137014
133ac813a98
1421a625984
1513542d837
hexbae58e50

3135606352 has 80 divisors (see below), whose sum is σ = 6434588160. Its totient is φ = 1478131200.

The previous prime is 3135606343. The next prime is 3135606391. The reversal of 3135606352 is 2536065313.

3135606352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4757799 + ... + 4758457.

It is an arithmetic number, because the mean of its divisors is an integer number (80432352).

Almost surely, 23135606352 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 3135606352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217294080).

3135606352 is an abundant number, since it is smaller than the sum of its proper divisors (3298981808).

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

3135606352 is a wasteful number, since it uses less digits than its factorization.

3135606352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 34.

The square root of 3135606352 is about 55996.4851754108. The cubic root of 3135606352 is about 1463.6610366176.

The spelling of 3135606352 in words is "three billion, one hundred thirty-five million, six hundred six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 31 53 62 106 124 181 212 248 362 424 496 659 724 848 1318 1448 1643 2636 2896 3286 5272 5611 6572 9593 10544 11222 13144 19186 20429 22444 26288 34927 38372 40858 44888 69854 76744 81716 89776 119279 139708 153488 163432 238558 279416 297383 326864 477116 558832 594766 954232 1082737 1189532 1908464 2165474 2379064 3697649 4330948 4758128 6321787 7395298 8661896 12643574 14790596 17323792 25287148 29581192 50574296 59162384 101148592 195975397 391950794 783901588 1567803176 3135606352