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126973437168 = 24331113755147
BaseRepresentation
bin111011001000000110…
…1001110010011110000
3110010201222220220221010
41312100031032103300
54040020144442133
6134155241230520
712113343260004
oct1662015162360
9403658826833
10126973437168
1149938216736
1220737192440
13bc86b4c956
14620754a704
1534822c4263
hex1d9034e4f0

126973437168 has 80 divisors (see below), whose sum is σ = 341592708096. Its totient is φ = 40596648960.

The previous prime is 126973437163. The next prime is 126973437187. The reversal of 126973437168 is 861734379621.

It is a super-2 number, since 2×1269734371682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126973437163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209430 + ... + 545717.

Almost surely, 2126973437168 is an apocalyptic number.

It is an amenable number.

126973437168 is an abundant number, since it is smaller than the sum of its proper divisors (214619270928).

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

126973437168 is a wasteful number, since it uses less digits than its factorization.

126973437168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755302 (or 755296 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The spelling of 126973437168 in words is "one hundred twenty-six billion, nine hundred seventy-three million, four hundred thirty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 113 124 186 226 248 339 372 452 496 678 744 904 1356 1488 1808 2712 3503 5424 7006 10509 14012 21018 28024 42036 56048 84072 168144 755147 1510294 2265441 3020588 4530882 6041176 9061764 12082352 18123528 23409557 36247056 46819114 70228671 85331611 93638228 140457342 170663222 187276456 255994833 280914684 341326444 374552912 511989666 561829368 682652888 1023979332 1123658736 1365305776 2047958664 2645279941 4095917328 5290559882 7935839823 10581119764 15871679646 21162239528 31743359292 42324479056 63486718584 126973437168