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245225653152 = 25310329038543
BaseRepresentation
bin1110010001100010010…
…1101000001110100000
3212102222012022220111020
43210120211220032200
513004210231400102
6304353300445440
723500630442124
oct3443045501640
9772865286436
10245225653152
1194aaa540857
123b6396a9880
131a180bc9b9c
14bc246cd584
1565a3ad7bbc
hex39189683a0

245225653152 has 96 divisors (see below), whose sum is σ = 650267025408. Its totient is φ = 80910917376.

The previous prime is 245225653151. The next prime is 245225653159. The reversal of 245225653152 is 251356522542.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (245225653151) 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, 28700593 + ... + 28709135.

It is an arithmetic number, because the mean of its divisors is an integer number (6773614848).

Almost surely, 2245225653152 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 245225653152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325133512704).

245225653152 is an abundant number, since it is smaller than the sum of its proper divisors (405041372256).

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

245225653152 is a wasteful number, since it uses less digits than its factorization.

245225653152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11562 (or 11554 counting only the distinct ones).

The product of its digits is 720000, while the sum is 42.

The spelling of 245225653152 in words is "two hundred forty-five billion, two hundred twenty-five million, six hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 2903 3296 4944 5806 8543 8709 9888 11612 17086 17418 23224 25629 34172 34836 46448 51258 68344 69672 92896 102516 136688 139344 205032 273376 278688 299009 410064 598018 820128 879929 897027 1196036 1759858 1794054 2392072 2639787 3519716 3588108 4784144 5279574 7039432 7176216 9568288 10559148 14078864 14352432 21118296 24800329 28157728 28704864 42236592 49600658 74400987 84473184 99201316 148801974 198402632 297603948 396805264 595207896 793610528 1190415792 2380831584 2554433887 5108867774 7663301661 10217735548 15326603322 20435471096 30653206644 40870942192 61306413288 81741884384 122612826576 245225653152