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112568632380 = 223255373161639
BaseRepresentation
bin110100011010110011…
…1010000010000111100
3101202120002202000120200
41220311213100100330
53321020032214010
6123414024243500
711063361405411
oct1506547202074
9352502660520
10112568632380
1143816070696
1219997010590
13a7cc709519
14563c3bc108
152ddc87dcc0
hex1a359d043c

112568632380 has 144 divisors (see below), whose sum is σ = 352668738240. Its totient is φ = 29048288256.

The previous prime is 112568632361. The next prime is 112568632387. The reversal of 112568632380 is 83236865211.

112568632380 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 6 + 8 + 632 + 3 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112568632387) 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 47 ways as a sum of consecutive naturals, for example, 615601 + ... + 777239.

It is an arithmetic number, because the mean of its divisors is an integer number (2449088460).

Almost surely, 2112568632380 is an apocalyptic number.

112568632380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112568632380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176334369120).

112568632380 is an abundant number, since it is smaller than the sum of its proper divisors (240100105860).

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

112568632380 is a wasteful number, since it uses less digits than its factorization.

112568632380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161780 (or 161775 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 112568632380 in words is "one hundred twelve billion, five hundred sixty-eight million, six hundred thirty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 73 90 106 146 159 180 212 219 265 292 318 365 438 477 530 636 657 730 795 876 954 1060 1095 1314 1460 1590 1908 2190 2385 2628 3180 3285 3869 4380 4770 6570 7738 9540 11607 13140 15476 19345 23214 34821 38690 46428 58035 69642 77380 116070 139284 161639 174105 232140 323278 348210 484917 646556 696420 808195 969834 1454751 1616390 1939668 2424585 2909502 3232780 4849170 5819004 7273755 8566867 9698340 11799647 14547510 17133734 23599294 25700601 29095020 34267468 35398941 42834335 47198588 51401202 58998235 70797882 77101803 85668670 102802404 106196823 117996470 128503005 141595764 154203606 171337340 176994705 212393646 235992940 257006010 308407212 353989410 385509015 424787292 514012020 530984115 625381291 707978820 771018030 1061968230 1250762582 1542036060 1876143873 2123936460 2501525164 3126906455 3752287746 5628431619 6253812910 7504575492 9380719365 11256863238 12507625820 18761438730 22513726476 28142158095 37522877460 56284316190 112568632380