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125550214416 = 24321179261499
BaseRepresentation
bin111010011101101100…
…0000011110100010000
3110000001210212201100100
41310323120003310100
54024111323330131
6133402120452400
712033152133354
oct1647330036420
9400053781310
10125550214416
1149277906390
12203ba61a100
13babb02cc03
146110511464
1533ec3937e6
hex1d3b603d10

125550214416 has 60 divisors (see below), whose sum is σ = 383308614000. Its totient is φ = 38045519040.

The previous prime is 125550214403. The next prime is 125550214421. The reversal of 125550214416 is 614412055521.

125550214416 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 502 + 144 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 39629166 + ... + 39632333.

It is an arithmetic number, because the mean of its divisors is an integer number (6388476900).

Almost surely, 2125550214416 is an apocalyptic number.

125550214416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125550214416 is an abundant number, since it is smaller than the sum of its proper divisors (257758399584).

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

125550214416 is a wasteful number, since it uses less digits than its factorization.

125550214416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79261524 (or 79261515 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 125550214416 its reverse (614412055521), we get a palindrome (739962269937).

The spelling of 125550214416 in words is "one hundred twenty-five billion, five hundred fifty million, two hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 79261499 158522998 237784497 317045996 475568994 634091992 713353491 871876489 951137988 1268183984 1426706982 1743752978 1902275976 2615629467 2853413964 3487505956 3804551952 5231258934 5706827928 6975011912 7846888401 10462517868 11413655856 13950023824 15693776802 20925035736 31387553604 41850071472 62775107208 125550214416