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157547221600 = 25522311375773
BaseRepresentation
bin1001001010111010001…
…0111101001001100000
3120001122201220002120111
42102232202331021200
510040124042042400
6200213131421104
714245111200526
oct2225642751140
9501581802514
10157547221600
11608a733247a
122664a2b4794
1311b1a062062
1478a7c76316
15417148d3ba
hex24ae8bd260

157547221600 has 144 divisors (see below), whose sum is σ = 404891397792. Its totient is φ = 59744706560.

The previous prime is 157547221597. The next prime is 157547221631. The reversal of 157547221600 is 6122745751.

157547221600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1575472216002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2041314 + ... + 2117086.

It is an arithmetic number, because the mean of its divisors is an integer number (2811745818).

Almost surely, 2157547221600 is an apocalyptic number.

157547221600 is a gapful number since it is divisible by the number (10) 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 157547221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202445698896).

157547221600 is an abundant number, since it is smaller than the sum of its proper divisors (247344176192).

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

157547221600 is a wasteful number, since it uses less digits than its factorization.

157547221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75929 (or 75916 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 157547221600 in words is "one hundred fifty-seven billion, five hundred forty-seven million, two hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 113 115 160 184 200 226 230 368 400 452 460 565 575 736 800 904 920 1130 1150 1808 1840 2260 2300 2599 2825 3616 3680 4520 4600 5198 5650 9040 9200 10396 11300 12995 18080 18400 20792 22600 25990 41584 45200 51980 64975 75773 83168 90400 103960 129950 151546 207920 259900 303092 378865 415840 519800 606184 757730 1039600 1212368 1515460 1742779 1894325 2079200 2424736 3030920 3485558 3788650 6061840 6971116 7577300 8562349 8713895 12123680 13942232 15154600 17124698 17427790 27884464 30309200 34249396 34855580 42811745 43569475 55768928 60618400 68498792 69711160 85623490 87138950 136997584 139422320 171246980 174277900 196934027 214058725 273995168 278844640 342493960 348555800 393868054 428117450 684987920 697111600 787736108 856234900 984670135 1369975840 1394223200 1575472216 1712469800 1969340270 3150944432 3424939600 3938680540 4923350675 6301888864 6849879200 7877361080 9846701350 15754722160 19693402700 31509444320 39386805400 78773610800 157547221600