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72805510096 = 241110715125603
BaseRepresentation
bin100001111001110001…
…0111110101111010000
320221220221102010012221
41003303202332233100
52143101202310341
653240230430424
75155121424244
oct1036342765720
9227827363187
1072805510096
11289708a3360
121213a502414
136b337538b7
143749472424
151d61a87ed1
hex10f38bebd0

72805510096 has 80 divisors (see below), whose sum is σ = 156357278208. Its totient is φ = 32565744000.

The previous prime is 72805510087. The next prime is 72805510117. The reversal of 72805510096 is 69001550827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2830831 + ... + 2856433.

Almost surely, 272805510096 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 72805510096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78178639104).

72805510096 is an abundant number, since it is smaller than the sum of its proper divisors (83551768112).

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

72805510096 is a wasteful number, since it uses less digits than its factorization.

72805510096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25880 (or 25874 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 72805510096 in words is "seventy-two billion, eight hundred five million, five hundred ten thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 107 151 176 214 302 428 604 856 1177 1208 1661 1712 2354 2416 3322 4708 6644 9416 13288 16157 18832 25603 26576 32314 51206 64628 102412 129256 177727 204824 258512 281633 355454 409648 563266 710908 1126532 1421816 2253064 2739521 2843632 3866053 4506128 5479042 7732106 10958084 15464212 21916168 30134731 30928424 42526583 43832336 60269462 61856848 85053166 120538924 170106332 241077848 340212664 413667671 482155696 680425328 827335342 1654670684 3309341368 4550344381 6618682736 9100688762 18201377524 36402755048 72805510096