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126971441152 = 212181117117
BaseRepresentation
bin111011001000000010…
…1100111000000000000
3110010201212011111220121
41312100011213000000
54040014142104102
6134155130350024
712113320304503
oct1662005470000
9403655144817
10126971441152
1149937083036
122073658b314
13bc8660128a
14620718b13a
15348202cb37
hex1d90167000

126971441152 has 52 divisors (see below), whose sum is σ = 254066930856. Its totient is φ = 63446958080.

The previous prime is 126971441123. The next prime is 126971441161. The reversal of 126971441152 is 251144179621.

It is a super-2 number, since 2×1269714411522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126971441099 and 126971441108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7409298 + ... + 7426414.

Almost surely, 2126971441152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126971441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127033465428).

126971441152 is an abundant number, since it is smaller than the sum of its proper divisors (127095489704).

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

126971441152 is an equidigital number, since it uses as much as digits as its factorization.

126971441152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18952 (or 18930 counting only the distinct ones).

The product of its digits is 120960, while the sum is 43.

The spelling of 126971441152 in words is "one hundred twenty-six billion, nine hundred seventy-one million, four hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1811 2048 3622 4096 7244 14488 17117 28976 34234 57952 68468 115904 136936 231808 273872 463616 547744 927232 1095488 1854464 2190976 3708928 4381952 7417856 8763904 17527808 30998887 35055616 61997774 70111232 123995548 247991096 495982192 991964384 1983928768 3967857536 7935715072 15871430144 31742860288 63485720576 126971441152