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2139685470 = 23551367733
BaseRepresentation
bin111111110001001…
…0000001001011110
312112010012021200000
41333202100021132
513340224413340
6552152515130
7104011012026
oct17742201136
95463167600
102139685470
119a88843aa
124b86abaa6
132813a44a0
1416425aa86
15c7ca5d30
hex7f89025e

2139685470 has 96 divisors (see below), whose sum is σ = 6213104352. Its totient is φ = 526684032.

The previous prime is 2139685447. The next prime is 2139685477. The reversal of 2139685470 is 745869312.

2139685470 is a `hidden beast` number, since 2 + 13 + 96 + 8 + 547 + 0 = 666.

2139685470 is digitally balanced in base 4 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2139685470 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139685477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2277 + ... + 65456.

It is an arithmetic number, because the mean of its divisors is an integer number (64719837).

It is a 1-persistent number, because it is pandigital, but 2⋅2139685470 = 4279370940 is not.

Almost surely, 22139685470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139685470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106552176).

2139685470 is an abundant number, since it is smaller than the sum of its proper divisors (4073418882).

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

2139685470 is a wasteful number, since it uses less digits than its factorization.

2139685470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67768 (or 67756 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2139685470 is about 46256.7343205289. The cubic root of 2139685470 is about 1288.5956052067.

The spelling of 2139685470 in words is "two billion, one hundred thirty-nine million, six hundred eighty-five thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 810 1053 1170 1215 1755 2106 2430 3159 3510 5265 6318 10530 15795 31590 67733 135466 203199 338665 406398 609597 677330 880529 1015995 1219194 1761058 1828791 2031990 2641587 3047985 3657582 4402645 5283174 5486373 6095970 7924761 8805290 9143955 10972746 13207935 15849522 16459119 18287910 23774283 26415870 27431865 32918238 39623805 47548566 54863730 71322849 79247610 82295595 118871415 142645698 164591190 213968547 237742830 356614245 427937094 713228490 1069842735 2139685470