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126037131740 = 225136743116787
BaseRepresentation
bin111010101100001100…
…1100000000111011100
3110001022202002200100022
41311120121200013130
54031111001203430
6133522313051312
712051213641402
oct1653031400734
9401282080308
10126037131740
11494a77475a3
12205156b6b38
13bb67b84280
14615905d472
153429ec54e5
hex1d586601dc

126037131740 has 96 divisors (see below), whose sum is σ = 289980601344. Its totient is φ = 45733121280.

The previous prime is 126037131713. The next prime is 126037131743. The reversal of 126037131740 is 47131730621.

It is a super-2 number, since 2×1260371317402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126037131740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126037131743) 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 31 ways as a sum of consecutive naturals, for example, 7499627 + ... + 7516413.

It is an arithmetic number, because the mean of its divisors is an integer number (3020631264).

Almost surely, 2126037131740 is an apocalyptic number.

126037131740 is a gapful number since it is divisible by the number (10) 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 126037131740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144990300672).

126037131740 is an abundant number, since it is smaller than the sum of its proper divisors (163943469604).

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

126037131740 is a wasteful number, since it uses less digits than its factorization.

126037131740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17307 (or 17305 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 126037131740 in words is "one hundred twenty-six billion, thirty-seven million, one hundred thirty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 431 670 862 871 1340 1724 1742 2155 3484 4310 4355 5603 8620 8710 11206 16787 17420 22412 28015 28877 33574 56030 57754 67148 83935 112060 115508 144385 167870 218231 288770 335740 375401 436462 577540 750802 872924 1091155 1124729 1501604 1877005 2182310 2249458 3754010 4364620 4498916 5623645 7235197 7508020 11247290 14470394 14621477 22494580 28940788 29242954 36175985 58485908 72351970 73107385 94057561 144703940 146214770 188115122 292429540 376230244 470287805 484758199 940575610 969516398 1881151220 1939032796 2423790995 4847581990 6301856587 9695163980 12603713174 25207426348 31509282935 63018565870 126037131740