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2131906128 = 243118348647
BaseRepresentation
bin111111100010010…
…0100111001010000
312111120120001102020
41333010210321100
513331231444003
6551314051440
7103554621522
oct17704447120
95446501366
102131906128
119a44506a0
124b5b79b80
1327c8ac621
141631d3a12
15c726ad53
hex7f124e50

2131906128 has 80 divisors (see below), whose sum is σ = 6080610816. Its totient is φ = 638235520.

The previous prime is 2131906123. The next prime is 2131906129. The reversal of 2131906128 is 8216091312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131906123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19501 + ... + 68147.

Almost surely, 22131906128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131906128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040305408).

2131906128 is an abundant number, since it is smaller than the sum of its proper divisors (3948704688).

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

2131906128 is a wasteful number, since it uses less digits than its factorization.

2131906128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48752 (or 48746 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2131906128 is about 46172.5689993529. The cubic root of 2131906128 is about 1287.0320421830.

The spelling of 2131906128 in words is "two billion, one hundred thirty-one million, nine hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 132 166 176 249 264 332 498 528 664 913 996 1328 1826 1992 2739 3652 3984 5478 7304 10956 14608 21912 43824 48647 97294 145941 194588 291882 389176 535117 583764 778352 1070234 1167528 1605351 2140468 2335056 3210702 4037701 4280936 6421404 8075402 8561872 12113103 12842808 16150804 24226206 25685616 32301608 44414711 48452412 64603216 88829422 96904824 133244133 177658844 193809648 266488266 355317688 532976532 710635376 1065953064 2131906128