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126710292852 = 2232111371346669
BaseRepresentation
bin111011000000010000…
…1011010000101110100
3110010001122202210210100
41312000201122011310
54034000313332402
6134113201154100
712103666501263
oct1660041320564
9403048683710
10126710292852
11498127254a0
122068302b930
13bc44487460
1461c060c5da
15346914571c
hex1d8085a174

126710292852 has 144 divisors (see below), whose sum is σ = 381592149120. Its totient is φ = 34944134400.

The previous prime is 126710292817. The next prime is 126710292869. The reversal of 126710292852 is 258292017621.

126710292852 is a `hidden beast` number, since 1 + 267 + 102 + 9 + 285 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 126710292798 and 126710292807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192174 + ... + 538842.

It is an arithmetic number, because the mean of its divisors is an integer number (2649945480).

Almost surely, 2126710292852 is an apocalyptic number.

126710292852 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 126710292852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190796074560).

126710292852 is an abundant number, since it is smaller than the sum of its proper divisors (254881856268).

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

126710292852 is a wasteful number, since it uses less digits than its factorization.

126710292852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346774 (or 346769 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 126710292852 in words is "one hundred twenty-six billion, seven hundred ten million, two hundred ninety-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 71 78 99 117 132 142 143 156 198 213 234 284 286 396 426 429 468 572 639 781 852 858 923 1278 1287 1562 1716 1846 2343 2556 2574 2769 3124 3692 4686 5148 5538 7029 8307 9372 10153 11076 14058 16614 20306 28116 30459 33228 40612 60918 91377 121836 182754 346669 365508 693338 1040007 1386676 2080014 3120021 3813359 4160028 4506697 6240042 7626718 9013394 11440077 12480084 13520091 15253436 18026788 22880154 24613499 27040182 34320231 40560273 45760308 49226998 49573667 54080364 68640462 73840497 81120546 98453996 99147334 137280924 147680994 148721001 162241092 198294668 221521491 270748489 295361988 297442002 319975487 443042982 446163003 541496978 594884004 639950974 812245467 886085964 892326006 959926461 1082993956 1279901948 1624490934 1784652012 1919852922 2436736401 2879779383 3248981868 3519730357 3839705844 4873472802 5759558766 7039460714 9746945604 10559191071 11519117532 14078921428 21118382142 31677573213 42236764284 63355146426 126710292852