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161515105050 = 235213105178809
BaseRepresentation
bin1001011001101100001…
…1001110101100011010
3120102220021011110101210
42112123003032230122
510121240331330200
6202110553123550
714445331512045
oct2263303165432
9512807143353
10161515105050
116255307aaa2
12273770b95b6
131230011a2a0
147b62c29c5c
1543049bc650
hex259b0ceb1a

161515105050 has 96 divisors (see below), whose sum is σ = 431785488960. Its totient is φ = 39719232000.

The previous prime is 161515105039. The next prime is 161515105109. The reversal of 161515105050 is 50501515161.

161515105050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 161515104999 and 161515105017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2010046 + ... + 2088854.

It is an arithmetic number, because the mean of its divisors is an integer number (4497765510).

Almost surely, 2161515105050 is an apocalyptic number.

161515105050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 161515105050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215892744480).

161515105050 is an abundant number, since it is smaller than the sum of its proper divisors (270270383910).

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

161515105050 is a wasteful number, since it uses less digits than its factorization.

161515105050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79888 (or 79883 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 161515105050 in words is "one hundred sixty-one billion, five hundred fifteen million, one hundred five thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1051 1950 2102 3153 5255 6306 10510 13663 15765 26275 27326 31530 40989 52550 68315 78809 78825 81978 136630 157618 157650 204945 236427 341575 394045 409890 472854 683150 788090 1024517 1024725 1182135 1970225 2049034 2049450 2364270 3073551 3940450 5122585 5910675 6147102 10245170 11821350 15367755 25612925 30735510 51225850 76838775 82828259 153677550 165656518 248484777 414141295 496969554 828282590 1076767367 1242423885 2070706475 2153534734 2484847770 3230302101 4141412950 5383836835 6212119425 6460604202 10767673670 12424238850 16151510505 26919184175 32303021010 53838368350 80757552525 161515105050