Search a number
-
+
82171416246234 = 23779112921935647
BaseRepresentation
bin10010101011110000000110…
…000100110111011111011010
3101202221111210021121102022120
4102223300012010313133122
541232244030024334414
6450433005534402110
723210455203512340
oct2253600604673732
9352844707542276
1082171416246234
112420077a2a2927
129271455060336
1336b0967899a93
14164119121b990
159777017652a9
hex4abc061377da

82171416246234 has 64 divisors (see below), whose sum is σ = 190366327603200. Its totient is φ = 23159830531968.

The previous prime is 82171416246187. The next prime is 82171416246281. The reversal of 82171416246234 is 43264261417128.

82171416246234 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (82171416246187) and next prime (82171416246281).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7221802 + ... + 14713845.

It is an arithmetic number, because the mean of its divisors is an integer number (2974473868800).

Almost surely, 282171416246234 is an apocalyptic number.

82171416246234 is an abundant number, since it is smaller than the sum of its proper divisors (108194911356966).

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

82171416246234 is a wasteful number, since it uses less digits than its factorization.

82171416246234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21936867.

The product of its digits is 3096576, while the sum is 51.

The spelling of 82171416246234 in words is "eighty-two trillion, one hundred seventy-one billion, four hundred sixteen million, two hundred forty-six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 79 158 237 474 553 1106 1129 1659 2258 3318 3387 6774 7903 15806 23709 47418 89191 178382 267573 535146 624337 1248674 1873011 3746022 21935647 43871294 65806941 131613882 153549529 307099058 460648587 921297174 1732916113 3465832226 5198748339 10397496678 12130412791 24260825582 24765345463 36391238373 49530690926 72782476746 74296036389 148592072778 173357418241 346714836482 520072254723 1040144509446 1956462291577 3912924583154 5869386874731 11738773749462 13695236041039 27390472082078 41085708123117 82171416246234