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157829869956 = 223114369140241
BaseRepresentation
bin1001001011111101100…
…1001011000110000100
3120002101102202010020010
42102333121023012010
510041213421314311
6200301145510220
714255112521313
oct2227731130604
9502342663203
10157829869956
1160a31935360
1226708aa2370
1311b63795cc5
1478d361027a
15418b1c0da6
hex24bf64b184

157829869956 has 96 divisors (see below), whose sum is σ = 411696907776. Its totient is φ = 46646208000.

The previous prime is 157829869871. The next prime is 157829870021. The reversal of 157829869956 is 659968928751.

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, 3901996 + ... + 3942236.

It is an arithmetic number, because the mean of its divisors is an integer number (4288509456).

Almost surely, 2157829869956 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 157829869956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205848453888).

157829869956 is an abundant number, since it is smaller than the sum of its proper divisors (253867037820).

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

157829869956 is a wasteful number, since it uses less digits than its factorization.

157829869956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40993 (or 40991 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 75.

The spelling of 157829869956 in words is "one hundred fifty-seven billion, eight hundred twenty-nine million, eight hundred sixty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 691 946 1382 1419 1892 2073 2764 2838 4146 5676 7601 8292 15202 22803 29713 30404 40241 45606 59426 80482 89139 91212 118852 120723 160964 178278 241446 326843 356556 442651 482892 653686 885302 980529 1307372 1327953 1730363 1770604 1961058 2655906 3460726 3922116 5191089 5311812 6921452 10382178 19033993 20764356 27806531 38067986 55613062 57101979 76135972 83419593 111226124 114203958 166839186 228407916 305871841 333678372 611743682 917615523 1195680833 1223487364 1835231046 2391361666 3587042499 3670462092 4782723332 7174084998 13152489163 14348169996 26304978326 39457467489 52609956652 78914934978 157829869956