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1125227158048 = 257210722929287
BaseRepresentation
bin10000010111111100110…
…000111101101000100000
310222120102000102011210201
4100113330300331220200
5121413431123024143
62220531111034544
7144203115014200
oct20277460755040
93876360364721
101125227158048
113a422a43a244
121620b036ba54
13821543b7326
143c665aa2400
151e40a59464d
hex105fcc3da20

1125227158048 has 144 divisors (see below), whose sum is σ = 2612502486720. Its totient is φ = 475630880256.

The previous prime is 1125227158043. The next prime is 1125227158067. The reversal of 1125227158048 is 8408517225211.

It is a super-2 number, since 2×11252271580482 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1125227157989 and 1125227158007.

It is not an unprimeable number, because it can be changed into a prime (1125227158043) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38406061 + ... + 38435347.

It is an arithmetic number, because the mean of its divisors is an integer number (18142378380).

Almost surely, 21125227158048 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 1125227158048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306251243360).

1125227158048 is an abundant number, since it is smaller than the sum of its proper divisors (1487275328672).

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

1125227158048 is a wasteful number, since it uses less digits than its factorization.

1125227158048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29647 (or 29632 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 46.

The spelling of 1125227158048 in words is "one trillion, one hundred twenty-five billion, two hundred twenty-seven million, one hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 107 112 196 214 224 229 392 428 458 749 784 856 916 1498 1568 1603 1712 1832 2996 3206 3424 3664 5243 5992 6412 7328 10486 11221 11984 12824 20972 22442 23968 24503 25648 29287 41944 44884 49006 51296 58574 83888 89768 98012 117148 167776 171521 179536 196024 205009 234296 343042 359072 392048 410018 468592 686084 784096 820036 937184 1200647 1372168 1435063 1640072 2401294 2744336 2870126 3133709 3280144 4802588 5488672 5740252 6267418 6560288 6706723 9605176 11480504 12534836 13413446 19210352 21935963 22961008 25069672 26826892 38420704 43871926 45922016 46947061 50139344 53653784 87743852 93894122 100278688 107307568 153551741 175487704 187788244 214615136 307103482 328629427 350975408 375576488 614206964 657258854 701950816 717619361 751152976 1228413928 1314517708 1435238722 1502305952 2456827856 2629035416 2870477444 4913655712 5023335527 5258070832 5740954888 10046671054 10516141664 11481909776 20093342108 22963819552 35163348689 40186684216 70326697378 80373368432 140653394756 160746736864 281306789512 562613579024 1125227158048