Search a number
-
+
54731517040 = 24519131274867
BaseRepresentation
bin110010111110010000…
…001010110001110000
312020021100000010210201
4302332100022301300
51344042232021130
641050542204544
73645204135034
oct627620126160
9166240003721
1054731517040
1121236572912
12a735583754
1352130b7155
142912ca41c4
151654e65bca
hexcbe40ac70

54731517040 has 80 divisors (see below), whose sum is σ = 134971182720. Its totient is φ = 20581966080.

The previous prime is 54731517031. The next prime is 54731517047. The reversal of 54731517040 is 4071513745.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54731517047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61687 + ... + 336553.

It is an arithmetic number, because the mean of its divisors is an integer number (1687139784).

Almost surely, 254731517040 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 54731517040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67485591360).

54731517040 is an abundant number, since it is smaller than the sum of its proper divisors (80239665680).

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

54731517040 is a wasteful number, since it uses less digits than its factorization.

54731517040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275030 (or 275024 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The spelling of 54731517040 in words is "fifty-four billion, seven hundred thirty-one million, five hundred seventeen thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 131 152 190 262 304 380 524 655 760 1048 1310 1520 2096 2489 2620 4978 5240 9956 10480 12445 19912 24890 39824 49780 99560 199120 274867 549734 1099468 1374335 2198936 2748670 4397872 5222473 5497340 10444946 10994680 20889892 21989360 26112365 36007577 41779784 52224730 72015154 83559568 104449460 144030308 180037885 208898920 288060616 360075770 417797840 576121232 684143963 720151540 1368287926 1440303080 2736575852 2880606160 3420719815 5473151704 6841439630 10946303408 13682879260 27365758520 54731517040