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127157227808 = 251343732
BaseRepresentation
bin111011001101100101…
…0010101000100100000
3110011012210202110021212
41312123022111010200
54040404222242213
6134225404405252
712121034413532
oct1663312250440
9404183673255
10127157227808
1149a21a38326
1220788846828
13bcb5c50000
146223b0d852
1534934ca9a8
hex1d9b295120

127157227808 has 90 divisors (see below), whose sum is σ = 271930826349. Its totient is φ = 58530610944.

The previous prime is 127157227807. The next prime is 127157227811. The reversal of 127157227808 is 808722751721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 57509795344 + 69647432464 = 239812^2 + 263908^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=252148.

It is not an unprimeable number, because it can be changed into a prime (127157227807) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 340903910 + ... + 340904282.

Almost surely, 2127157227808 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 127157227808

127157227808 is an abundant number, since it is smaller than the sum of its proper divisors (144773598541).

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

127157227808 is an frugal number, since it uses more digits than its factorization.

127157227808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 50.

Multiplying 127157227808 by its sum of digits (50), we get a square (6357861390400 = 25214802).

The spelling of 127157227808 in words is "one hundred twenty-seven billion, one hundred fifty-seven million, two hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 373 416 676 746 1352 1492 2197 2704 2984 4394 4849 5408 5968 8788 9698 11936 17576 19396 28561 35152 38792 57122 63037 70304 77584 114244 126074 139129 155168 228488 252148 278258 456976 504296 556516 819481 913952 1008592 1113032 1638962 1808677 2017184 2226064 3277924 3617354 4452128 6555848 7234708 10653253 13111696 14469416 21306506 23512801 26223392 28938832 42613012 47025602 57877664 85226024 94051204 170452048 188102408 305666413 340904096 376204816 611332826 752409632 1222665652 2445331304 3973663369 4890662608 7947326738 9781325216 15894653476 31789306952 63578613904 127157227808