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1157090928228 = 223429312188629
BaseRepresentation
bin10000110101100111111…
…111100110011001100100
311002121122122201102020000
4100311213333212121210
5122424210234200403
62243321002141300
7146411535416304
oct20654777463144
94077578642200
101157090928228
114067a0733404
121683034b1830
1385161939501
1440009863604
1520172b217a3
hex10d67fe6664

1157090928228 has 60 divisors (see below), whose sum is σ = 3035188265340. Its totient is φ = 384380572608.

The previous prime is 1157090928209. The next prime is 1157090928247. The reversal of 1157090928228 is 8228290907511.

It is an interprime number because it is at equal distance from previous prime (1157090928209) and next prime (1157090928247).

It can be written as a sum of positive squares in 2 ways, for example, as 915068254464 + 242022673764 = 956592^2 + 491958^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5999383 + ... + 6189246.

It is an arithmetic number, because the mean of its divisors is an integer number (50586471089).

Almost surely, 21157090928228 is an apocalyptic number.

1157090928228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1157090928228 is an abundant number, since it is smaller than the sum of its proper divisors (1878097337112).

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

1157090928228 is a wasteful number, since it uses less digits than its factorization.

1157090928228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12188938 (or 12188927 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 1157090928228 in words is "one trillion, one hundred fifty-seven billion, ninety million, nine hundred twenty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 293 324 586 879 1172 1758 2637 3516 5274 7911 10548 15822 23733 31644 47466 94932 12188629 24377258 36565887 48754516 73131774 109697661 146263548 219395322 329092983 438790644 658185966 987278949 1316371932 1974557898 3571268297 3949115796 7142536594 10713804891 14285073188 21427609782 32141414673 42855219564 64282829346 96424244019 128565658692 192848488038 289272732057 385696976076 578545464114 1157090928228