Search a number
-
+
126610667520 = 211354121441
BaseRepresentation
bin111010111101010010…
…1010111100000000000
3110002210201022022112020
41311322211113200000
54033244312330040
6134055242001440
712101346626361
oct1657245274000
9402721268466
10126610667520
114977146a507
12206557a6280
13bc2994535c
1461b12b7b68
153460516cd0
hex1d7a957800

126610667520 has 96 divisors (see below), whose sum is σ = 405055319760. Its totient is φ = 33762836480.

The previous prime is 126610667509. The next prime is 126610667531. The reversal of 126610667520 is 25766016621.

It is an interprime number because it is at equal distance from previous prime (126610667509) and next prime (126610667531).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1266106675202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2030001 + ... + 2091440.

Almost surely, 2126610667520 is an apocalyptic number.

126610667520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126610667520 is an abundant number, since it is smaller than the sum of its proper divisors (278444652240).

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

126610667520 is an equidigital number, since it uses as much as digits as its factorization.

126610667520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121471 (or 4121451 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 126610667520 in words is "one hundred twenty-six billion, six hundred ten million, six hundred sixty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 4121441 8242882 12364323 16485764 20607205 24728646 32971528 41214410 49457292 61821615 65943056 82428820 98914584 123643230 131886112 164857640 197829168 247286460 263772224 329715280 395658336 494572920 527544448 659430560 791316672 989145840 1055088896 1318861120 1582633344 1978291680 2110177792 2637722240 3165266688 3956583360 4220355584 5275444480 6330533376 7913166720 8440711168 10550888960 12661066752 15826333440 21101777920 25322133504 31652666880 42203555840 63305333760 126610667520