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80528363442 = 232197115712111
BaseRepresentation
bin100101011111111011…
…1010100111110110010
321200212011022201101100
41022333313110332302
52304410230112232
6100554430145230
75550365536542
oct1127767247662
9250764281340
1080528363442
113117418638a
1213734952216
13779473acc7
143c7cdd5322
152164a8ac7c
hex12bfdd4fb2

80528363442 has 96 divisors (see below), whose sum is σ = 186454794240. Its totient is φ = 25044012000.

The previous prime is 80528363441. The next prime is 80528363449. The reversal of 80528363442 is 24436382508.

80528363442 is a `hidden beast` number, since 8 + 0 + 5 + 2 + 8 + 3 + 634 + 4 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (80528363441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38145967 + ... + 38148077.

It is an arithmetic number, because the mean of its divisors is an integer number (1942237440).

Almost surely, 280528363442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80528363442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93227397120).

80528363442 is an abundant number, since it is smaller than the sum of its proper divisors (105926430798).

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

80528363442 is a wasteful number, since it uses less digits than its factorization.

80528363442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 80528363442 in words is "eighty billion, five hundred twenty-eight million, three hundred sixty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 71 114 142 171 213 342 426 639 1278 1349 1571 2111 2698 3142 4047 4222 4713 6333 8094 9426 12141 12666 14139 18999 24282 28278 29849 37998 40109 59698 80218 89547 111541 120327 149881 179094 223082 240654 268641 299762 334623 360981 449643 537282 669246 721962 899286 1003869 1348929 2007738 2119279 2697858 2847739 3316381 4238558 5695478 6357837 6632762 8543217 9949143 12715674 17086434 19073511 19898286 25629651 29847429 38147022 51259302 59694858 63011239 126022478 189033717 235463051 378067434 470926102 567101151 706389153 1134202302 1412778306 2119167459 4238334918 4473797969 8947595938 13421393907 26842787814 40264181721 80528363442