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9932680485 = 345721338501
BaseRepresentation
bin10010100000000100…
…01010110100100101
3221122020002110010000
421100002022310211
5130320231233420
64321335451513
7501066251100
oct112002126445
927566073100
109932680485
114237814952
121b12526b99
13c23a79a40
146a323b737
153d2011690
hex25008ad25

9932680485 has 120 divisors (see below), whose sum is σ = 22306056696. Its totient is φ = 4191264000.

The previous prime is 9932680477. The next prime is 9932680489. The reversal of 9932680485 is 5840862399.

It can be written as a sum of positive squares in 4 ways, for example, as 690165441 + 9242515044 = 26271^2 + 96138^2 .

It is not a de Polignac number, because 9932680485 - 23 = 9932680477 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9932680489) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 238735 + ... + 277235.

Almost surely, 29932680485 is an apocalyptic number.

It is an amenable number.

9932680485 is an abundant number, since it is smaller than the sum of its proper divisors (12373376211).

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

9932680485 is a wasteful number, since it uses less digits than its factorization.

9932680485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38545 (or 38529 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 9932680485 is about 99662.8340205114. The cubic root of 9932680485 is about 2149.5892840840.

The spelling of 9932680485 in words is "nine billion, nine hundred thirty-two million, six hundred eighty thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 49 63 65 81 91 105 117 135 147 189 195 245 273 315 351 405 441 455 567 585 637 735 819 945 1053 1323 1365 1755 1911 2205 2457 2835 3185 3969 4095 5265 5733 6615 7371 9555 12285 17199 19845 28665 36855 38501 51597 85995 115503 192505 257985 269507 346509 500513 577515 808521 1039527 1347535 1501539 1732545 1886549 2425563 2502565 3118581 3503591 4042605 4504617 5197635 5659647 7276689 7507695 9432745 10510773 12127815 13513851 15592905 16978941 17517955 21830067 22523085 24525137 28298235 31532319 36383445 40541553 50936823 52553865 67569255 73575411 84894705 94596957 109150335 122625685 152810469 157661595 202707765 220726233 254684115 283790871 367877055 472984785 662178699 764052345 1103631165 1418954355 1986536097 3310893495 9932680485