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125253413376 = 293713896101
BaseRepresentation
bin111010010100110101…
…1110110101000000000
3102222022010101122212020
41310221223312220000
54023004333212001
6133312435201440
712022616306250
oct1645153665000
9388263348766
10125253413376
1149135317373
1220337146280
13ba716b21b0
1460c2d31960
1533d12b7736
hex1d29af6a00

125253413376 has 160 divisors (see below), whose sum is σ = 410687131008. Its totient is φ = 33033830400.

The previous prime is 125253413357. The next prime is 125253413407. The reversal of 125253413376 is 673314352521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 308275 + ... + 587826.

Almost surely, 2125253413376 is an apocalyptic number.

125253413376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125253413376 is an abundant number, since it is smaller than the sum of its proper divisors (285433717632).

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

125253413376 is an equidigital number, since it uses as much as digits as its factorization.

125253413376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896142 (or 896126 counting only the distinct ones).

The product of its digits is 453600, while the sum is 42.

Adding to 125253413376 its reverse (673314352521), we get a palindrome (798567765897).

The spelling of 125253413376 in words is "one hundred twenty-five billion, two hundred fifty-three million, four hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 512 546 624 672 728 768 832 896 1092 1248 1344 1456 1536 1664 1792 2184 2496 2688 2912 3328 3584 4368 4992 5376 5824 6656 8736 9984 10752 11648 17472 19968 23296 34944 46592 69888 139776 896101 1792202 2688303 3584404 5376606 6272707 7168808 10753212 11649313 12545414 14337616 18818121 21506424 23298626 25090828 28675232 34947939 37636242 43012848 46597252 50181656 57350464 69895878 75272484 81545191 86025696 93194504 100363312 114700928 139791756 150544968 163090382 172051392 186389008 200726624 229401856 244635573 279583512 301089936 326180764 344102784 372778016 401453248 458803712 489271146 559167024 602179872 652361528 688205568 745556032 802906496 978542292 1118334048 1204359744 1304723056 1376411136 1491112064 1605812992 1957084584 2236668096 2408719488 2609446112 2982224128 3211625984 3914169168 4473336192 4817438976 5218892224 5964448256 7828338336 8946672384 9634877952 10437784448 15656676672 17893344768 20875568896 31313353344 41751137792 62626706688 125253413376