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126766658070 = 2355134012873
BaseRepresentation
bin111011000001111100…
…0011011001000010110
3110010012120211110100000
41312003320123020112
54034104231024240
6134122533232130
712105252546333
oct1660370331026
9403176743300
10126766658070
1149841523518
1220699a92646
13bc53060b60
1461c7cc198a
15346e07b430
hex1d83e1b216

126766658070 has 96 divisors (see below), whose sum is σ = 368092906272. Its totient is φ = 31204092672.

The previous prime is 126766658033. The next prime is 126766658071. The reversal of 126766658070 is 70856667621.

It is a super-2 number, since 2×1267666580702 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 126766657998 and 126766658016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126766658071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974847 + ... + 2038026.

It is an arithmetic number, because the mean of its divisors is an integer number (3834301107).

Almost surely, 2126766658070 is an apocalyptic number.

126766658070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126766658070 is an abundant number, since it is smaller than the sum of its proper divisors (241326248202).

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

126766658070 is a wasteful number, since it uses less digits than its factorization.

126766658070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012908 (or 4012896 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 126766658070 in words is "one hundred twenty-six billion, seven hundred sixty-six million, six hundred fifty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 810 1053 1170 1215 1755 2106 2430 3159 3510 5265 6318 10530 15795 31590 4012873 8025746 12038619 20064365 24077238 36115857 40128730 52167349 60193095 72231714 104334698 108347571 120386190 156502047 180579285 216695142 260836745 313004094 325042713 361158570 469506141 521673490 541737855 650085426 782510235 939012282 975128139 1083475710 1408518423 1565020470 1625213565 1950256278 2347530705 2817036846 3250427130 4225555269 4695061410 4875640695 7042592115 8451110538 9751281390 12676665807 14085184230 21127776345 25353331614 42255552690 63383329035 126766658070