Search a number
-
+
82914317775702 = 23272234087267957
BaseRepresentation
bin10010110110100011111110…
…011101010011001101010110
3101212120112100100220022201100
4102312203332131103031112
541331432010322310302
6452202151200410530
723315235042360300
oct2266437635231526
9355515310808640
1082914317775702
11244678458a35a6
129371425316a46
133735a2c2741ca
1416691081c2970
1598bbd1de6d1c
hex4b68fe753356

82914317775702 has 72 divisors (see below), whose sum is σ = 218063920095216. Its totient is φ = 22659813548064.

The previous prime is 82914317775691. The next prime is 82914317775703. The reversal of 82914317775702 is 20757771341928.

82914317775702 is a `hidden beast` number, since 8 + 2 + 9 + 1 + 43 + 17 + 7 + 7 + 570 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 82914317775702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82914317775703) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2043613693 + ... + 2043654264.

It is an arithmetic number, because the mean of its divisors is an integer number (3028665556878).

Almost surely, 282914317775702 is an apocalyptic number.

82914317775702 is an abundant number, since it is smaller than the sum of its proper divisors (135149602319514).

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

82914317775702 is a wasteful number, since it uses less digits than its factorization.

82914317775702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087268002 (or 4087267992 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 82914317775702 in words is "eighty-two trillion, nine hundred fourteen billion, three hundred seventeen million, seven hundred seventy-five thousand, seven hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 414 441 483 882 966 1127 1449 2254 2898 3381 6762 10143 20286 4087267957 8174535914 12261803871 24523607742 28610875699 36785411613 57221751398 73570823226 85832627097 94007163011 171665254194 188014326022 200276129893 257497881291 282021489033 400552259786 514995762582 564042978066 600828389679 658050141077 846064467099 1201656779358 1316100282154 1692128934198 1802485169037 1974150423231 3604970338074 3948300846462 4606350987539 5922451269693 9212701975078 11844902539386 13819052962617 27638105925234 41457158887851 82914317775702