Search a number
-
+
55944750240 = 2532538850521
BaseRepresentation
bin110100000110100100…
…010010010010100000
312100101212220202212200
4310012210102102200
51404033324001430
641411202053200
74020235350051
oct640644222240
9170355822780
1055944750240
11217a9397985
12aa1394a200
135377562a12
1429ca07a728
1516c6717460
hexd069124a0

55944750240 has 72 divisors (see below), whose sum is σ = 190911465108. Its totient is φ = 14918599680.

The previous prime is 55944750209. The next prime is 55944750269. The reversal of 55944750240 is 4205744955.

55944750240 is a `hidden beast` number, since 5 + 594 + 4 + 7 + 50 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54290864016 + 1653886224 = 233004^2 + 40668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19423821 + ... + 19426700.

Almost surely, 255944750240 is an apocalyptic number.

It is an amenable number.

55944750240 is an abundant number, since it is smaller than the sum of its proper divisors (134966714868).

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

55944750240 is a wasteful number, since it uses less digits than its factorization.

55944750240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38850542 (or 38850531 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 55944750240 in words is "fifty-five billion, nine hundred forty-four million, seven hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 38850521 77701042 116551563 155402084 194252605 233103126 310804168 349654689 388505210 466206252 582757815 621608336 699309378 777010420 932412504 1165515630 1243216672 1398618756 1554020840 1748273445 1864825008 2331031260 2797237512 3108041680 3496546890 3729650016 4662062520 5594475024 6216083360 6993093780 9324125040 11188950048 13986187560 18648250080 27972375120 55944750240