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245225353152 = 26313857114641
BaseRepresentation
bin1110010001100010010…
…0011110111111000000
3212102222011202122222010
43210120210132333000
513004210142300102
6304353250212520
723500625052363
oct3443044367700
9772864678863
10245225353152
1194aaa35641a
123b639584140
131a180b23480
14bc246520da
1565a3a78d6c
hex391891efc0

245225353152 has 112 divisors (see below), whose sum is σ = 699556489632. Its totient is φ = 75365253120.

The previous prime is 245225353151. The next prime is 245225353157. The reversal of 245225353152 is 251353522542.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 245225353152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245225353151) 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, 2081752 + ... + 2196392.

It is an arithmetic number, because the mean of its divisors is an integer number (6246040086).

Almost surely, 2245225353152 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 245225353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349778244816).

245225353152 is an abundant number, since it is smaller than the sum of its proper divisors (454331136480).

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

245225353152 is a wasteful number, since it uses less digits than its factorization.

245225353152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115526 (or 115516 counting only the distinct ones).

The product of its digits is 360000, while the sum is 39.

Adding to 245225353152 its reverse (251353522542), we get a palindrome (496578875694).

The spelling of 245225353152 in words is "two hundred forty-five billion, two hundred twenty-five million, three hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 857 1248 1714 2496 2571 3428 5142 6856 10284 11141 13712 20568 22282 27424 33423 41136 44564 54848 66846 82272 89128 114641 133692 164544 178256 229282 267384 343923 356512 458564 534768 687846 713024 917128 1069536 1375692 1490333 1834256 2139072 2751384 2980666 3668512 4470999 5502768 5961332 7337024 8941998 11005536 11922664 17883996 22011072 23845328 35767992 47690656 71535984 95381312 98247337 143071968 196494674 286143936 294742011 392989348 589484022 785978696 1178968044 1277215381 1571957392 2357936088 2554430762 3143914784 3831646143 4715872176 5108861524 6287829568 7663292286 9431744352 10217723048 15326584572 18863488704 20435446096 30653169144 40870892192 61306338288 81741784384 122612676576 245225353152