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125253257640 = 23357313747533
BaseRepresentation
bin111010010100110101…
…1010000100110101000
3102222022010002202020020
41310221223100212220
54023004313221030
6133312432000440
712022615060230
oct1645153204650
9388263082206
10125253257640
1149135220365
1220337090120
13ba71659344
1460c2cd0cc0
1533d1286510
hex1d29ad09a8

125253257640 has 128 divisors (see below), whose sum is σ = 429585672960. Its totient is φ = 28619587584.

The previous prime is 125253257639. The next prime is 125253257641. The reversal of 125253257640 is 46752352521.

It is an interprime number because it is at equal distance from previous prime (125253257639) and next prime (125253257641).

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

It is a junction number, because it is equal to n+sod(n) for n = 125253257592 and 125253257601.

It is not an unprimeable number, because it can be changed into a prime (125253257641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2611314 + ... + 2658846.

It is an arithmetic number, because the mean of its divisors is an integer number (3356138070).

Almost surely, 2125253257640 is an apocalyptic number.

125253257640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125253257640 is an abundant number, since it is smaller than the sum of its proper divisors (304332415320).

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

125253257640 is a wasteful number, since it uses less digits than its factorization.

125253257640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50691 (or 50687 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 125253257640 in words is "one hundred twenty-five billion, two hundred fifty-three million, two hundred fifty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 3137 6274 9411 12548 15685 18822 21959 25096 31370 37644 43918 47055 47533 62740 65877 75288 87836 94110 95066 109795 125480 131754 142599 175672 188220 190132 219590 237665 263508 285198 329385 332731 376440 380264 439180 475330 527016 570396 658770 665462 712995 878360 950660 998193 1140792 1317540 1330924 1425990 1663655 1901320 1996386 2635080 2661848 2851980 3327310 3992772 4990965 5703960 6654620 7985544 9981930 13309240 19963860 39927720 149111021 298222042 447333063 596444084 745555105 894666126 1043777147 1192888168 1491110210 1789332252 2087554294 2236665315 2982220420 3131331441 3578664504 4175108588 4473330630 5218885735 5964440840 6262662882 8350217176 8946661260 10437771470 12525325764 15656657205 17893322520 20875542940 25050651528 31313314410 41751085880 62626628820 125253257640