Search a number
-
+
68492046240 = 25325233204137
BaseRepresentation
bin111111110010011100…
…011010111110100000
320112210022212110012100
4333302130122332200
52110232430434430
651244222130400
74643203534002
oct776234327640
9215708773170
1068492046240
1127057a7a0a2
1211335a20a00
1365c6bcc017
14345a642372
151bad044960
hexff271afa0

68492046240 has 144 divisors (see below), whose sum is σ = 234733386888. Its totient is φ = 18186067968.

The previous prime is 68492046223. The next prime is 68492046247. The reversal of 68492046240 is 4264029486.

68492046240 is a `hidden beast` number, since 68 + 4 + 92 + 0 + 462 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46567913616 + 21924132624 = 215796^2 + 148068^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (68492046247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233452 + ... + 437588.

Almost surely, 268492046240 is an apocalyptic number.

68492046240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68492046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117366693444).

68492046240 is an abundant number, since it is smaller than the sum of its proper divisors (166241340648).

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

68492046240 is a wasteful number, since it uses less digits than its factorization.

68492046240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204391 (or 204380 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 68492046240 in words is "sixty-eight billion, four hundred ninety-two million, forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 233 240 288 360 466 480 699 720 932 1165 1398 1440 1864 2097 2330 2796 3495 3728 4194 4660 5592 6990 7456 8388 9320 10485 11184 13980 16776 18640 20970 22368 27960 33552 37280 41940 55920 67104 83880 111840 167760 204137 335520 408274 612411 816548 1020685 1224822 1633096 1837233 2041370 2449644 3062055 3266192 3674466 4082740 4899288 6124110 6532384 7348932 8165480 9186165 9798576 12248220 14697864 16330960 18372330 19597152 24496440 29395728 32661920 36744660 47563921 48992880 58791456 73489320 95127842 97985760 142691763 146978640 190255684 237819605 285383526 293957280 380511368 428075289 475639210 570767052 713458815 761022736 856150578 951278420 1141534104 1426917630 1522045472 1712301156 1902556840 2140376445 2283068208 2853835260 3424602312 3805113680 4280752890 4566136416 5707670520 6849204624 7610227360 8561505780 11415341040 13698409248 17123011560 22830682080 34246023120 68492046240