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73000044032 = 29676173449
BaseRepresentation
bin100001111111100100…
…1000100011000000000
320222102111110110121112
41003333021010120000
52144001002402112
653311420142452
75163003064466
oct1037711043000
9228374413545
1073000044032
1128a60692603
1212193697a28
136b64b45c36
143767230836
151d73bb2a22
hex10ff244600

73000044032 has 80 divisors (see below), whose sum is σ = 148317404400. Its totient is φ = 35886563328.

The previous prime is 73000044023. The next prime is 73000044043. The reversal of 73000044032 is 23044000037.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 73000043989 and 73000044007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21163844 + ... + 21167292.

It is an arithmetic number, because the mean of its divisors is an integer number (1853967555).

Almost surely, 273000044032 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 73000044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74158702200).

73000044032 is an abundant number, since it is smaller than the sum of its proper divisors (75317360368).

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

73000044032 is an equidigital number, since it uses as much as digits as its factorization.

73000044032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

Adding to 73000044032 its reverse (23044000037), we get a palindrome (96044044069).

The spelling of 73000044032 in words is "seventy-three billion, forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 512 536 617 1072 1234 2144 2468 3449 4288 4936 6898 8576 9872 13796 17152 19744 27592 34304 39488 41339 55184 78976 82678 110368 157952 165356 220736 231083 315904 330712 441472 462166 661424 882944 924332 1322848 1765888 1848664 2128033 2645696 3697328 4256066 5291392 7394656 8512132 10582784 14789312 17024264 21165568 29578624 34048528 59157248 68097056 118314496 136194112 142578211 272388224 285156422 544776448 570312844 1089552896 1140625688 2281251376 4562502752 9125005504 18250011008 36500022016 73000044032