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77049023040 = 2633511899109
BaseRepresentation
bin100011111000001111…
…0101100101001000000
321100212200022220122000
41013300132230221000
52230244022214130
655221255544000
75365226614143
oct1076036545100
9240780286560
1077049023040
112a74918a450
1212b2368b000
13735b9560c2
143a2cc9405a
15200e3b0260
hex11f07aca40

77049023040 has 448 divisors, whose sum is σ = 299886624000. Its totient is φ = 18466652160.

The previous prime is 77049023033. The next prime is 77049023053. The reversal of 77049023040 is 4032094077.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77049022986 and 77049023004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8454006 + ... + 8463114.

Almost surely, 277049023040 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 77049023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149943312000).

77049023040 is an abundant number, since it is smaller than the sum of its proper divisors (222837600960).

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

77049023040 is a wasteful number, since it uses less digits than its factorization.

77049023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9235 (or 9219 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 77049023040 in words is "seventy-seven billion, forty-nine million, twenty-three thousand, forty".