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2132111976 = 233373836269
BaseRepresentation
bin111111100010101…
…0111001001101000
312111120221111210020
41333011113021220
513331310040401
6551322320440
7103556436621
oct17705271150
95446844706
102132111976
119a4581315
124b6059120
1327c952227
14163248a48
15c72abd36
hex7f157268

2132111976 has 64 divisors (see below), whose sum is σ = 5489510400. Its totient is φ = 689580288.

The previous prime is 2132111963. The next prime is 2132111977. The reversal of 2132111976 is 6791112312.

It is not an unprimeable number, because it can be changed into a prime (2132111977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336970 + ... + 343238.

It is an arithmetic number, because the mean of its divisors is an integer number (85773600).

Almost surely, 22132111976 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 2132111976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744755200).

2132111976 is an abundant number, since it is smaller than the sum of its proper divisors (3357398424).

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

2132111976 is a wasteful number, since it uses less digits than its factorization.

2132111976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6698 (or 6694 counting only the distinct ones).

The product of its digits is 4536, while the sum is 33.

The square root of 2132111976 is about 46174.7980612801. The cubic root of 2132111976 is about 1287.0734643391.

The spelling of 2132111976 in words is "two billion, one hundred thirty-two million, one hundred eleven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 383 444 766 888 1149 1532 2298 3064 4596 6269 9192 12538 14171 18807 25076 28342 37614 42513 50152 56684 75228 85026 113368 150456 170052 231953 340104 463906 695859 927812 1391718 1855624 2401027 2783436 4802054 5566872 7203081 9604108 14406162 19208216 28812324 57624648 88837999 177675998 266513997 355351996 533027994 710703992 1066055988 2132111976