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1157150222704 = 247233469129491
BaseRepresentation
bin10000110101101011100…
…001110010100101110000
311002121210210021212221201
4100311223201302211300
5122424320424111304
62243330521100544
7146413155414430
oct20655341624560
94077723255851
101157150222704
11406821152203
1216831b327754
1385170cca2b8
144001369a2c0
1520177e353a4
hex10d6b872970

1157150222704 has 80 divisors (see below), whose sum is σ = 2674455252480. Its totient is φ = 474219313920.

The previous prime is 1157150222699. The next prime is 1157150222729. The reversal of 1157150222704 is 4072220517511.

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 15 ways as a sum of consecutive naturals, for example, 8871399 + ... + 9000889.

It is an arithmetic number, because the mean of its divisors is an integer number (33430690656).

Almost surely, 21157150222704 is an apocalyptic number.

1157150222704 is a gapful number since it is divisible by the number (14) 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 1157150222704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337227626240).

1157150222704 is an abundant number, since it is smaller than the sum of its proper divisors (1517305029776).

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

1157150222704 is a wasteful number, since it uses less digits than its factorization.

1157150222704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132998 (or 132992 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 37.

The spelling of 1157150222704 in words is "one trillion, one hundred fifty-seven billion, one hundred fifty million, two hundred twenty-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 3469 6938 13876 24283 27752 48566 55504 79787 97132 129491 159574 194264 258982 319148 388528 517964 558509 638296 906437 1035928 1117018 1276592 1812874 2071856 2234036 2978293 3625748 4468072 5956586 7251496 8936144 11913172 14502992 20848051 23826344 41696102 47652688 83392204 166784408 333568816 449204279 898408558 1796817116 3144429953 3593634232 6288859906 7187268464 10331698417 12577719812 20663396834 25155439624 41326793668 50310879248 72321888919 82653587336 144643777838 165307174672 289287555676 578575111352 1157150222704