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5415896640 = 2635711411787
BaseRepresentation
bin1010000101101000…
…00000011001000000
3111222102222001111110
411002310000121000
542042432143030
62253225243320
7251132235060
oct50264003100
914872861443
105415896640
11232a150340
121071933540
1368407798b
143954033a0
1521a70a1b0
hex142d00640

5415896640 has 448 divisors, whose sum is σ = 21973690368. Its totient is φ = 1097318400.

The previous prime is 5415896627. The next prime is 5415896659. The reversal of 5415896640 is 466985145.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5415896640.

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, 3029827 + ... + 3031613.

It is an arithmetic number, because the mean of its divisors is an integer number (49048416).

Almost surely, 25415896640 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 5415896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10986845184).

5415896640 is an abundant number, since it is smaller than the sum of its proper divisors (16557793728).

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

5415896640 is a wasteful number, since it uses less digits than its factorization.

5415896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 5415896640 is about 73592.7757324046. The cubic root of 5415896640 is about 1756.1305140444.

The spelling of 5415896640 in words is "five billion, four hundred fifteen million, eight hundred ninety-six thousand, six hundred forty".