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2157377024 = 29111033719
BaseRepresentation
bin1000000010010110…
…1111011000000000
312120100111002220202
42000211233120000
513404242031044
6554024024332
7104314254635
oct20045573000
95510432822
102157377024
11a07868320
125026020a8
13284c59c6a
1416674418c
15c95ecc4e
hex8096f600

2157377024 has 80 divisors (see below), whose sum is σ = 4749338880. Its totient is φ = 970844160.

The previous prime is 2157377009. The next prime is 2157377083. The reversal of 2157377024 is 4207737512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578237 + ... + 581955.

It is an arithmetic number, because the mean of its divisors is an integer number (59366736).

Almost surely, 22157377024 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 2157377024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374669440).

2157377024 is an abundant number, since it is smaller than the sum of its proper divisors (2591961856).

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

2157377024 is a wasteful number, since it uses less digits than its factorization.

2157377024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 2157377024 is about 46447.5728537025. The cubic root of 2157377024 is about 1292.1373585140.

The spelling of 2157377024 in words is "two billion, one hundred fifty-seven million, three hundred seventy-seven thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 128 176 206 256 352 412 512 704 824 1133 1408 1648 2266 2816 3296 3719 4532 5632 6592 7438 9064 13184 14876 18128 26368 29752 36256 40909 52736 59504 72512 81818 119008 145024 163636 238016 290048 327272 383057 476032 580096 654544 766114 952064 1309088 1532228 1904128 2618176 3064456 4213627 5236352 6128912 8427254 10472704 12257824 16854508 20945408 24515648 33709016 49031296 67418032 98062592 134836064 196125184 269672128 539344256 1078688512 2157377024