Search a number
-
+
60690699960 = 23351145977803
BaseRepresentation
bin111000100001011100…
…101001011010111000
312210122122020222222020
4320201130221122320
51443243304344320
643514140154440
74245654303132
oct704134513270
9183578228866
1060690699960
1123814355180
12b919238a20
1359528914a7
142d1a4ca052
1518a31d9940
hexe217296b8

60690699960 has 64 divisors (see below), whose sum is σ = 198624113280. Its totient is φ = 14712896640.

The previous prime is 60690699947. The next prime is 60690700013. The reversal of 60690699960 is 6999609606.

It is a super-2 number, since 2×606906999602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 60690699894 and 60690699903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22987582 + ... + 22990221.

It is an arithmetic number, because the mean of its divisors is an integer number (3103501770).

Almost surely, 260690699960 is an apocalyptic number.

60690699960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

60690699960 is an abundant number, since it is smaller than the sum of its proper divisors (137933413320).

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

60690699960 is a wasteful number, since it uses less digits than its factorization.

60690699960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45977828 (or 45977824 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 60.

The spelling of 60690699960 in words is "sixty billion, six hundred ninety million, six hundred ninety-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 45977803 91955606 137933409 183911212 229889015 275866818 367822424 459778030 505755833 551733636 689667045 919556060 1011511666 1103467272 1379334090 1517267499 1839112120 2023023332 2528779165 2758668180 3034534998 4046046664 5057558330 5517336360 6069069996 7586337495 10115116660 12138139992 15172674990 20230233320 30345349980 60690699960