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2136948500 = 225338311159
BaseRepresentation
bin111111101011111…
…0011111100010100
312111221001020020202
41333113303330110
513334024323000
6552014120032
7103645522361
oct17727637424
95457036222
102136948500
119a7285045
124b77b0018
1328095678b
14163b47468
15c7914dd5
hex7f5f3f14

2136948500 has 48 divisors (see below), whose sum is σ = 4679700480. Its totient is φ = 852471200.

The previous prime is 2136948481. The next prime is 2136948521. The reversal of 2136948500 is 58496312.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185921 + ... + 197079.

It is an arithmetic number, because the mean of its divisors is an integer number (97493760).

Almost surely, 22136948500 is an apocalyptic number.

2136948500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136948500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339850240).

2136948500 is an abundant number, since it is smaller than the sum of its proper divisors (2542751980).

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

2136948500 is a wasteful number, since it uses less digits than its factorization.

2136948500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11561 (or 11549 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 2136948500 is about 46227.1402965833. The cubic root of 2136948500 is about 1288.0459368221.

The spelling of 2136948500 in words is "two billion, one hundred thirty-six million, nine hundred forty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 383 500 766 1532 1915 3830 7660 9575 11159 19150 22318 38300 44636 47875 55795 95750 111590 191500 223180 278975 557950 1115900 1394875 2789750 4273897 5579500 8547794 17095588 21369485 42738970 85477940 106847425 213694850 427389700 534237125 1068474250 2136948500