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154085168640 = 2935132118717
BaseRepresentation
bin1000111110000000110…
…0010001011000000000
3112201201110102120201210
42033200030101120000
510011031300344030
6154441415530120
714063242215624
oct2174014213000
9481643376653
10154085168640
115a390073887
1225a42989940
13116b7a20a00
14765a155184
15401c579bb0
hex23e0311600

154085168640 has 240 divisors, whose sum is σ = 533401873488. Its totient is φ = 37928337408.

The previous prime is 154085168639. The next prime is 154085168659. The reversal of 154085168640 is 46861580451.

It is a tau number, because it is divible by the number of its divisors (240).

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 154085168640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1238562 + ... + 1357278.

Almost surely, 2154085168640 is an apocalyptic number.

154085168640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154085168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266700936744).

154085168640 is an abundant number, since it is smaller than the sum of its proper divisors (379316704848).

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

154085168640 is a wasteful number, since it uses less digits than its factorization.

154085168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118769 (or 118740 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 154085168640 in words is "one hundred fifty-four billion, eighty-five million, one hundred sixty-eight thousand, six hundred forty".