Search a number
-
+
83220423440758 = 23715161712070801
BaseRepresentation
bin10010111011000001000011…
…110001101111100101110110
3101220122210110101201021100021
4102323001003301233211312
541401440411400101013
6452554533523235354
723346322446526462
oct2273010361574566
9356583411637307
1083220423440758
112457564653137a
129400813518b5a
133758863016a76
141679c6619b4a2
15994b4a611a8d
hex4bb043c6f976

83220423440758 has 32 divisors (see below), whose sum is σ = 129262645660608. Its totient is φ = 40152309120000.

The previous prime is 83220423440753. The next prime is 83220423440813. The reversal of 83220423440758 is 85704432402238.

It is a happy number.

It is a super-2 number, since 2×832204234407582 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83220423440753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 858958 + ... + 12929758.

It is an arithmetic number, because the mean of its divisors is an integer number (4039457676894).

Almost surely, 283220423440758 is an apocalyptic number.

83220423440758 is a deficient number, since it is larger than the sum of its proper divisors (46042222219850).

83220423440758 is a wasteful number, since it uses less digits than its factorization.

83220423440758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12071608.

The product of its (nonzero) digits is 10321920, while the sum is 52.

The spelling of 83220423440758 in words is "eighty-three trillion, two hundred twenty billion, four hundred twenty-three million, four hundred forty thousand, seven hundred fifty-eight".

Divisors: 1 2 37 74 151 302 617 1234 5587 11174 22829 45658 93167 186334 3447179 6894358 12070801 24141602 446619637 893239274 1822690951 3645381902 7447684217 14895368434 67439565187 134879130374 275564316029 551128632058 1124600316767 2249200633534 41610211720379 83220423440758