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2119742136 = 23343788411
BaseRepresentation
bin111111001011000…
…1011001010111000
312110201200001120000
41332112023022320
513320123222021
6550201233000
7103346340141
oct17626131270
95421601500
102119742136
119985a2706
124b1a92760
1327a210ab5
14161748ac8
15c6166b26
hex7e58b2b8

2119742136 has 80 divisors (see below), whose sum is σ = 6097775640. Its totient is φ = 687476160.

The previous prime is 2119742113. The next prime is 2119742137. The reversal of 2119742136 is 6312479112.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2119742136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119742137) 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 19 ways as a sum of consecutive naturals, for example, 20230 + ... + 68181.

Almost surely, 22119742136 is an apocalyptic number.

It is an amenable number.

2119742136 is an abundant number, since it is smaller than the sum of its proper divisors (3978033504).

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

2119742136 is a wasteful number, since it uses less digits than its factorization.

2119742136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88466 (or 88453 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2119742136 is about 46040.6574236294. The cubic root of 2119742136 is about 1284.5795706544.

The spelling of 2119742136 in words is "two billion, one hundred nineteen million, seven hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2664 2997 3996 5994 7992 11988 23976 88411 176822 265233 353644 530466 707288 795699 1060932 1591398 2121864 2387097 3182796 3271207 4774194 6365592 6542414 7161291 9548388 9813621 13084828 14322582 19096776 19627242 26169656 28645164 29440863 39254484 57290328 58881726 78508968 88322589 117763452 176645178 235526904 264967767 353290356 529935534 706580712 1059871068 2119742136