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126161115400 = 235231191106537
BaseRepresentation
bin111010101111111001…
…0011101100100001000
3110001122101101200221201
41311133302131210020
54031334221143100
6133542502313544
712054250533655
oct1653762354410
9401571350851
10126161115400
114956072a331
122054b1288b4
13bb87774498
14616b6d4c2c
153435d1636a
hex1d5fc9d908

126161115400 has 96 divisors (see below), whose sum is σ = 304374804480. Its totient is φ = 48580416000.

The previous prime is 126161115391. The next prime is 126161115419. The reversal of 126161115400 is 4511161621.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1130932 + ... + 1237468.

It is an arithmetic number, because the mean of its divisors is an integer number (3170570880).

Almost surely, 2126161115400 is an apocalyptic number.

126161115400 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 126161115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152187402240).

126161115400 is an abundant number, since it is smaller than the sum of its proper divisors (178213689080).

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

126161115400 is a wasteful number, since it uses less digits than its factorization.

126161115400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106775 (or 106766 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 126161115400 in words is "one hundred twenty-six billion, one hundred sixty-one million, one hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 191 200 248 310 382 620 764 775 955 1240 1528 1550 1910 3100 3820 4775 5921 6200 7640 9550 11842 19100 23684 29605 38200 47368 59210 106537 118420 148025 213074 236840 296050 426148 532685 592100 852296 1065370 1184200 2130740 2663425 3302647 4261480 5326850 6605294 10653700 13210588 16513235 20348567 21307400 26421176 33026470 40697134 66052940 81394268 82566175 101742835 132105880 162788536 165132350 203485670 330264700 406971340 508714175 630805577 660529400 813942680 1017428350 1261611154 2034856700 2523222308 3154027885 4069713400 5046444616 6308055770 12616111540 15770139425 25232223080 31540278850 63080557700 126161115400