Search a number
-
+
60265479904 = 257795935743
BaseRepresentation
bin111000001000000110…
…100011111011100000
312202120000010120201021
4320020012203323200
51441410430324104
643404030215224
74232302061410
oct701006437340
9182500116637
1060265479904
1123616324043
12b81a954514
1358b575c7a6
142cb9c3c640
15187abe3754
hexe081a3ee0

60265479904 has 96 divisors (see below), whose sum is σ = 137569259520. Its totient is φ = 25453688832.

The previous prime is 60265479881. The next prime is 60265479919. The reversal of 60265479904 is 40997456206.

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, 10490857 + ... + 10496599.

It is an arithmetic number, because the mean of its divisors is an integer number (1433013120).

Almost surely, 260265479904 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 60265479904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68784629760).

60265479904 is an abundant number, since it is smaller than the sum of its proper divisors (77303779616).

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

60265479904 is a wasteful number, since it uses less digits than its factorization.

60265479904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 60265479904 in words is "sixty billion, two hundred sixty-five million, four hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 593 632 1106 1186 1264 2212 2372 2528 4151 4424 4744 5743 8302 8848 9488 11486 16604 17696 18976 22972 33208 40201 45944 46847 66416 80402 91888 93694 132832 160804 183776 187388 321608 327929 374776 453697 643216 655858 749552 907394 1286432 1311716 1499104 1814788 2623432 3175879 3405599 3629576 5246864 6351758 6811198 7259152 10493728 12703516 13622396 14518304 23839193 25407032 27244792 47678386 50814064 54489584 95356772 101628128 108979168 190713544 269042321 381427088 538084642 762854176 1076169284 1883296247 2152338568 3766592494 4304677136 7533184988 8609354272 15066369976 30132739952 60265479904