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4662864990 = 2325725917921
BaseRepresentation
bin1000101011110110…
…11010110001011110
3110000222000002021100
410111323122301132
534022143134430
62050405213530
7223356461400
oct42573326136
913028002240
104662864990
111a8307a533
12aa17012a6
1359405b314
143233c2b70
151c455e960
hex115edac5e

4662864990 has 144 divisors (see below), whose sum is σ = 14342618160. Its totient is φ = 1047674880.

The previous prime is 4662864979. The next prime is 4662864991. The reversal of 4662864990 is 994682664.

4662864990 is a `hidden beast` number, since 4 + 6 + 628 + 6 + 4 + 9 + 9 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4662864991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 251230 + ... + 269150.

It is an arithmetic number, because the mean of its divisors is an integer number (99601515).

Almost surely, 24662864990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4662864990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171309080).

4662864990 is an abundant number, since it is smaller than the sum of its proper divisors (9679753170).

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

4662864990 is a wasteful number, since it uses less digits than its factorization.

4662864990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18007 (or 17997 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 4662864990 is about 68285.1740131048. The cubic root of 4662864990 is about 1670.6454041418.

The spelling of 4662864990 in words is "four billion, six hundred sixty-two million, eight hundred sixty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 59 63 70 90 98 105 118 126 147 177 210 245 294 295 315 354 413 441 490 531 590 630 735 826 882 885 1062 1239 1470 1770 2065 2205 2478 2655 2891 3717 4130 4410 5310 5782 6195 7434 8673 12390 14455 17346 17921 18585 26019 28910 35842 37170 43365 52038 53763 86730 89605 107526 125447 130095 161289 179210 250894 260190 268815 322578 376341 537630 627235 752682 806445 878129 1057339 1129023 1254470 1612890 1756258 1881705 2114678 2258046 2634387 3172017 3763410 4390645 5268774 5286695 5645115 6344034 7401373 7903161 8781290 9516051 10573390 11290230 13171935 14802746 15806322 15860085 19032102 22204119 26343870 31720170 37006865 39515805 44408238 47580255 51809611 66612357 74013730 79031610 95160510 103619222 111020595 133224714 155428833 222041190 259048055 310857666 333061785 466286499 518096110 666123570 777144165 932572998 1554288330 2331432495 4662864990