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126653159892 = 223717243312049
BaseRepresentation
bin111010111110100011…
…1011101100111010100
3110002220200021011002210
41311331013131213110
54033341202104032
6134103400433420
712102404045010
oct1657507354724
9402820234083
10126653159892
1149793452676
1220667a78870
13bc356a247c
1461b6bb9540
15346410c2cc
hex1d7d1dd9d4

126653159892 has 144 divisors (see below), whose sum is σ = 359636009600. Its totient is φ = 33976516608.

The previous prime is 126653159891. The next prime is 126653159917. The reversal of 126653159892 is 298951356621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126653159891) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10505484 + ... + 10517532.

Almost surely, 2126653159892 is an apocalyptic number.

126653159892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126653159892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179818004800).

126653159892 is an abundant number, since it is smaller than the sum of its proper divisors (232982849708).

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

126653159892 is a wasteful number, since it uses less digits than its factorization.

126653159892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12530 (or 12511 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 57.

The spelling of 126653159892 in words is "one hundred twenty-six billion, six hundred fifty-three million, one hundred fifty-nine thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 357 433 476 578 714 866 867 1156 1299 1428 1732 1734 2023 2598 3031 3468 4046 5196 6062 6069 7361 8092 9093 12049 12124 12138 14722 18186 22083 24098 24276 29444 36147 36372 44166 48196 51527 72294 84343 88332 103054 125137 144588 154581 168686 204833 206108 250274 253029 309162 337372 375411 409666 500548 506058 614499 618324 750822 819332 875959 1012116 1228998 1433831 1501644 1751918 2457996 2627877 2867662 3482161 3503836 4301493 5217217 5255754 5735324 6964322 8602986 10434434 10446483 10511508 13928644 15651651 17205972 20868868 20892966 24375127 31303302 36520519 41785932 48750254 62606604 73041038 73125381 88692689 97500508 109561557 146082076 146250762 177385378 219123114 266078067 292501524 354770756 438246228 532156134 620848823 1064312268 1241697646 1507775713 1862546469 2483395292 3015551426 3725092938 4523327139 6031102852 7450185876 9046654278 10554429991 18093308556 21108859982 31663289973 42217719964 63326579946 126653159892