Search a number
-
+
10079070494512 = 24191671931028663
BaseRepresentation
bin1001001010101011011101…
…1010101001111100110000
31022200112211202022120000011
42102222313122221330300
52310113414021311022
633234132220104304
72060121522431335
oct222526732517460
938615752276004
1010079070494512
113236567595948
121169484395094
135815b5835a96
1426bb8866a98c
151272a6a07977
hex92ab76a9f30

10079070494512 has 80 divisors (see below), whose sum is σ = 20786254594560. Its totient is φ = 4721114198016.

The previous prime is 10079070494503. The next prime is 10079070494557. The reversal of 10079070494512 is 21549407097001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9283893 + ... + 10312555.

It is an arithmetic number, because the mean of its divisors is an integer number (259828182432).

Almost surely, 210079070494512 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 10079070494512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10393127297280).

10079070494512 is an abundant number, since it is smaller than the sum of its proper divisors (10707184100048).

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

10079070494512 is a wasteful number, since it uses less digits than its factorization.

10079070494512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029050 (or 1029044 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

The spelling of 10079070494512 in words is "ten trillion, seventy-nine billion, seventy million, four hundred ninety-four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 167 193 304 334 386 668 772 1336 1544 2672 3088 3173 3667 6346 7334 12692 14668 25384 29336 32231 50768 58672 64462 128924 257848 515696 612389 1028663 1224778 2057326 2449556 4114652 4899112 8229304 9798224 16458608 19544597 39089194 78178388 156356776 171786721 198531959 312713552 343573442 397063918 687146884 794127836 1374293768 1588255672 2748587536 3176511344 3263947699 3772107221 6527895398 7544214442 13055790796 15088428884 26111581592 30176857768 33154837153 52223163184 60353715536 66309674306 132619348612 265238697224 530477394448 629941905907 1259883811814 2519767623628 5039535247256 10079070494512