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83148872474670 = 23541128352689563
BaseRepresentation
bin10010111001111110011011…
…000000011110000000101110
3101220101221202212221120222020
4102321332123000132000232
541344302342323142140
6452502021545531010
723341210400412012
oct2271763300360056
9356357685846866
1083148872474670
1124548269909552
1293aa9851a3a66
133751b9c474102
1416765d95b6542
15992d5dc8a6d0
hex4b9f9b01e02e

83148872474670 has 64 divisors (see below), whose sum is σ = 204583882132224. Its totient is φ = 21615365914880.

The previous prime is 83148872474669. The next prime is 83148872474771. The reversal of 83148872474670 is 7647427884138.

It is a junction number, because it is equal to n+sod(n) for n = 83148872474595 and 83148872474604.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 24766692 + ... + 27922871.

It is an arithmetic number, because the mean of its divisors is an integer number (3196623158316).

Almost surely, 283148872474670 is an apocalyptic number.

83148872474670 is an abundant number, since it is smaller than the sum of its proper divisors (121435009657554).

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

83148872474670 is a wasteful number, since it uses less digits than its factorization.

83148872474670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52690897.

The product of its (nonzero) digits is 404619264, while the sum is 69.

The spelling of 83148872474670 in words is "eighty-three trillion, one hundred forty-eight billion, eight hundred seventy-two million, four hundred seventy-four thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 1283 2566 3849 6415 7698 12830 19245 38490 52603 105206 157809 263015 315618 526030 789045 1578090 52689563 105379126 158068689 263447815 316137378 526895630 790343445 1580686890 2160272083 4320544166 6480816249 10801360415 12961632498 21602720830 32404081245 64808162490 67600709329 135201418658 202802127987 338003546645 405604255974 676007093290 1014010639935 2028021279870 2771629082489 5543258164978 8314887247467 13858145412445 16629774494934 27716290824890 41574436237335 83148872474670