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11372142870 = 23251128374049
BaseRepresentation
bin10101001011101010…
…10010000100010110
31002100112200201021200
422211311102010112
5141242232032440
65120240253330
7551545422324
oct124565220426
932315621250
1011372142870
114906307290
122254611246
1310c306442a
1479c4a2d14
1546859dc30
hex2a5d52116

11372142870 has 96 divisors (see below), whose sum is σ = 32274871200. Its totient is φ = 2755230720.

The previous prime is 11372142869. The next prime is 11372142871. The reversal of 11372142870 is 7824127311.

11372142870 is a `hidden beast` number, since 1 + 1 + 372 + 1 + 4 + 287 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11372142869) and next prime (11372142871).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11372142871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2806606 + ... + 2810654.

It is an arithmetic number, because the mean of its divisors is an integer number (336196575).

Almost surely, 211372142870 is an apocalyptic number.

11372142870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11372142870 is an abundant number, since it is smaller than the sum of its proper divisors (20902728330).

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

11372142870 is a wasteful number, since it uses less digits than its factorization.

11372142870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910 (or 6907 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 11372142870 in words is "eleven billion, three hundred seventy-two million, one hundred forty-two thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2837 4049 5674 8098 8511 12147 14185 17022 20245 24294 25533 28370 31207 36441 40490 42555 44539 51066 60735 62414 72882 85110 89078 93621 121470 127665 133617 156035 182205 187242 222695 255330 267234 280863 312070 364410 400851 445390 468105 561726 668085 801702 936210 1336170 1404315 2004255 2808630 4008510 11487013 22974026 34461039 57435065 68922078 103383117 114870130 126357143 172305195 206766234 252714286 344610390 379071429 516915585 631785715 758142858 1033831170 1137214287 1263571430 1895357145 2274428574 3790714290 5686071435 11372142870