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159933217052 = 227411132115843
BaseRepresentation
bin1001010011110011000…
…0110011100100011100
3120021211000120020000102
42110330300303210130
510110020400421202
6201250003520232
714361202625510
oct2247460634434
9507730506012
10159933217052
116191114a144
1226bb5389078
131210a48649b
147a52acc140
154260b99d02
hex253cc3391c

159933217052 has 96 divisors (see below), whose sum is σ = 332191286784. Its totient is φ = 65953843200.

The previous prime is 159933217039. The next prime is 159933217061. The reversal of 159933217052 is 250712339951.

It is a super-3 number, since 3×1599332170523 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 159933216988 and 159933217006.

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, 27368843 + ... + 27374685.

It is an arithmetic number, because the mean of its divisors is an integer number (3460325904).

Almost surely, 2159933217052 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 159933217052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166095643392).

159933217052 is an abundant number, since it is smaller than the sum of its proper divisors (172258069732).

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

159933217052 is a wasteful number, since it uses less digits than its factorization.

159933217052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6219 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 47.

The spelling of 159933217052 in words is "one hundred fifty-nine billion, nine hundred thirty-three million, two hundred seventeen thousand, fifty-two".

Divisors: 1 2 4 7 14 28 41 82 113 164 211 226 287 422 452 574 791 844 1148 1477 1582 2954 3164 4633 5843 5908 8651 9266 11686 17302 18532 23372 23843 32431 34604 40901 47686 60557 64862 81802 95372 121114 129724 163604 166901 239563 242228 333802 479126 660259 667604 958252 977563 1232873 1320518 1676941 1955126 2465746 2641036 3353882 3910252 4621813 4931492 6707764 6842941 8630111 9243626 13685882 17260222 18487252 27070619 27371764 34520444 50547793 54141238 101095586 108282476 139314649 189494333 202191172 278629298 353834551 378988666 557258596 707669102 757977332 975202543 1415338204 1950405086 3900810172 5711900609 11423801218 22847602436 39983304263 79966608526 159933217052