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4741693506 = 235114320627
BaseRepresentation
bin1000110101010000…
…01000000001000010
3110020110022222200000
410122220020001002
534202333143011
62102302540430
7225334505214
oct43250100102
913213288600
104741693506
112013620570
12b03b97716
135a749b404
1432da625b4
151cb431356
hex11aa08042

4741693506 has 96 divisors (see below), whose sum is σ = 11893609728. Its totient is φ = 1403393040.

The previous prime is 4741693493. The next prime is 4741693507. The reversal of 4741693506 is 6053961474.

4741693506 is a `hidden beast` number, since 47 + 4 + 16 + 93 + 506 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4741693507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219565 + ... + 240191.

It is an arithmetic number, because the mean of its divisors is an integer number (123891768).

Almost surely, 24741693506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4741693506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946804864).

4741693506 is an abundant number, since it is smaller than the sum of its proper divisors (7151916222).

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

4741693506 is a wasteful number, since it uses less digits than its factorization.

4741693506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20698 (or 20686 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4741693506 is about 68859.9557507845. The cubic root of 4741693506 is about 1680.0072639992.

The spelling of 4741693506 in words is "four billion, seven hundred forty-one million, six hundred ninety-three thousand, five hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 81 86 99 129 162 198 243 258 297 387 473 486 594 774 891 946 1161 1419 1782 2322 2673 2838 3483 4257 5346 6966 8514 10449 12771 20627 20898 25542 38313 41254 61881 76626 114939 123762 185643 226897 229878 371286 453794 556929 680691 886961 1113858 1361382 1670787 1773922 2042073 2660883 3341574 4084146 5012361 5321766 6126219 7982649 9756571 10024722 12252438 15965298 18378657 19513142 23947947 29269713 36757314 47895894 55135971 58539426 71843841 87809139 110271942 143687682 175618278 215531523 263427417 431063046 526854834 790282251 1580564502 2370846753 4741693506