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1137422773350 = 2325213920278971
BaseRepresentation
bin10000100011010011101…
…011100010110001100110
311000201212221121121220100
4100203103223202301212
5122113420212221400
62230305205244530
7145114253024013
oct20432353426146
94021787547810
101137422773350
113a9418559556
12164534703746
1383348c2c446
143d0a168070a
151e8c10a5100
hex108d3ae2c66

1137422773350 has 144 divisors (see below), whose sum is σ = 3079722260160. Its totient is φ = 300948523200.

The previous prime is 1137422773327. The next prime is 1137422773387. The reversal of 1137422773350 is 533772247311.

1137422773350 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 4 + 227 + 73 + 350 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1137422773296 and 1137422773305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126784365 + ... + 126793335.

It is an arithmetic number, because the mean of its divisors is an integer number (21386960140).

Almost surely, 21137422773350 is an apocalyptic number.

1137422773350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137422773350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539861130080).

1137422773350 is an abundant number, since it is smaller than the sum of its proper divisors (1942299486810).

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

1137422773350 is a wasteful number, since it uses less digits than its factorization.

1137422773350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11155 (or 11147 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 1137422773350 in words is "one trillion, one hundred thirty-seven billion, four hundred twenty-two million, seven hundred seventy-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 139 150 225 278 417 450 695 834 1251 1390 2027 2085 2502 3475 4054 4170 6081 6255 6950 8971 10135 10425 12162 12510 17942 18243 20270 20850 26913 30405 31275 36486 44855 50675 53826 60810 62550 80739 89710 91215 101350 134565 152025 161478 182430 224275 269130 281753 304050 403695 448550 456075 563506 672825 807390 845259 912150 1246969 1345650 1408765 1690518 2018475 2493938 2535777 2817530 3740907 4036950 4226295 5071554 6234845 7043825 7481814 8452590 11222721 12469690 12678885 14087650 18184217 18704535 21131475 22445442 25357770 31174225 36368434 37409070 42262950 54552651 56113605 62348450 63394425 90921085 93522675 109105302 112227210 126788850 163657953 181842170 187045350 272763255 280568025 327315906 454605425 545526510 561136050 818289765 909210850 1363816275 1636579530 2527606163 2727632550 4091448825 5055212326 7582818489 8182897650 12638030815 15165636978 22748455467 25276061630 37914092445 45496910934 63190154075 75828184890 113742277335 126380308150 189570462225 227484554670 379140924450 568711386675 1137422773350