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126727025152 = 2971322312197
BaseRepresentation
bin111011000000110000…
…1001111001000000000
3110010002211020220012011
41312001201033020000
54034014104301102
6134114555542304
712104261640430
oct1660141171000
9403084226164
10126727025152
1149821113742
122068875a994
13bc47a95420
1461c29262c0
15346a84d2d7
hex1d8184f200

126727025152 has 160 divisors (see below), whose sum is σ = 313061962752. Its totient is φ = 49904861184.

The previous prime is 126727025149. The next prime is 126727025153. The reversal of 126727025152 is 251520727621.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (126727025153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10383918 + ... + 10396114.

Almost surely, 2126727025152 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 126727025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156530981376).

126727025152 is an abundant number, since it is smaller than the sum of its proper divisors (186334937600).

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

126727025152 is a wasteful number, since it uses less digits than its factorization.

126727025152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12458 (or 12442 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 126727025152 in words is "one hundred twenty-six billion, seven hundred twenty-seven million, twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 223 224 256 364 416 446 448 512 728 832 892 896 1456 1561 1664 1784 1792 2899 2912 3122 3328 3568 3584 5798 5824 6244 6656 7136 11596 11648 12197 12488 14272 20293 23192 23296 24394 24976 28544 40586 46384 46592 48788 49952 57088 81172 85379 92768 97576 99904 114176 158561 162344 170758 185536 195152 199808 317122 324688 341516 371072 390304 399616 634244 649376 683032 742144 780608 799232 1109927 1268488 1298752 1366064 1484288 1561216 2219854 2536976 2597504 2719931 2732128 3122432 4439708 5073952 5195008 5439862 5464256 6244864 8879416 10147904 10390016 10879724 10928512 17758832 19039517 20295808 21759448 21857024 35359103 35517664 38079034 40591616 43518896 43714048 70718206 71035328 76158068 81183232 87037792 141436412 142070656 152316136 174075584 247513721 282872824 284141312 304632272 348151168 495027442 565745648 568282624 609264544 696302336 990054884 1131491296 1218529088 1392604672 1980109768 2262982592 2437058176 3960219536 4525965184 4874116352 7920439072 9051930368 9748232704 15840878144 18103860736 31681756288 63363512576 126727025152