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157157303004 = 223313130785643
BaseRepresentation
bin1001001001011101001…
…1100010001011011100
3120000122120012011211000
42102113103202023130
510033324232144004
6200110322230300
714232335014602
oct2222723421334
9500576164730
10157157303004
11607172228a9
122655b7b5390
1311a873403b0
14786c177872
15414c11bc39
hex24974e22dc

157157303004 has 96 divisors (see below), whose sum is σ = 439127619840. Its totient is φ = 48318531264.

The previous prime is 157157302949. The next prime is 157157303021. The reversal of 157157303004 is 400303751751.

157157303004 is a `hidden beast` number, since 1 + 57 + 1 + 573 + 0 + 30 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 157157303004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1792207 + ... + 1877849.

It is an arithmetic number, because the mean of its divisors is an integer number (4574246040).

Almost surely, 2157157303004 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 157157303004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219563809920).

157157303004 is an abundant number, since it is smaller than the sum of its proper divisors (281970316836).

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

157157303004 is a wasteful number, since it uses less digits than its factorization.

157157303004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86976 (or 86968 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 157157303004 in words is "one hundred fifty-seven billion, one hundred fifty-seven million, three hundred three thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1307 1404 2614 3921 5228 7842 11763 15684 16991 23526 33982 35289 47052 50973 67964 70578 85643 101946 141156 152919 171286 203892 256929 305838 342572 458757 513858 611676 770787 917514 1027716 1113359 1541574 1835028 2226718 2312361 3083148 3340077 4453436 4624722 6680154 9249444 10020231 13360308 20040462 30060693 40080924 60121386 111935401 120242772 223870802 335806203 447741604 671612406 1007418609 1343224812 1455160213 2014837218 2910320426 3022255827 4029674436 4365480639 5820640852 6044511654 8730961278 12089023308 13096441917 17461922556 26192883834 39289325751 52385767668 78578651502 157157303004