Search a number
-
+
53859480960 = 2735229122497
BaseRepresentation
bin110010001010010001…
…100111010110000000
312011000120010010012010
4302022101213112000
51340301011342320
640424231332520
73614455014555
oct621221472600
9164016103163
1053859480960
112092930023a
12a531521140
135104531a7c
14286d146a2c
15160360eae0
hexc8a467580

53859480960 has 128 divisors (see below), whose sum is σ = 172428184800. Its totient is φ = 14299693056.

The previous prime is 53859480959. The next prime is 53859480973. The reversal of 53859480960 is 6908495835.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 53859480960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378432 + ... + 500928.

Almost surely, 253859480960 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 53859480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86214092400).

53859480960 is an abundant number, since it is smaller than the sum of its proper divisors (118568703840).

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

53859480960 is a wasteful number, since it uses less digits than its factorization.

53859480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122748 (or 122736 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 53859480960 in words is "fifty-three billion, eight hundred fifty-nine million, four hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 229 240 320 384 458 480 640 687 916 960 1145 1374 1832 1920 2290 2748 3435 3664 4580 5496 6870 7328 9160 10992 13740 14656 18320 21984 27480 29312 36640 43968 54960 73280 87936 109920 122497 146560 219840 244994 367491 439680 489988 612485 734982 979976 1224970 1469964 1837455 1959952 2449940 2939928 3674910 3919904 4899880 5879856 7349820 7839808 9799760 11759712 14699640 15679616 19599520 23519424 28051813 29399280 39199040 47038848 56103626 58798560 78398080 84155439 112207252 117597120 140259065 168310878 224414504 235194240 280518130 336621756 420777195 448829008 561036260 673243512 841554390 897658016 1122072520 1346487024 1683108780 1795316032 2244145040 2692974048 3366217560 3590632064 4488290080 5385948096 6732435120 8976580160 10771896192 13464870240 17953160320 26929740480 53859480960