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245090699776 = 2913281131041
BaseRepresentation
bin1110010001000010001…
…0110100101000000000
3212102121210101120021001
43210100202310220000
513003421204343101
6304332040141344
723464401401056
oct3442042645000
9772553346231
10245090699776
1194a4034633a
123b600467854
131a15bc68910
14bc108001d6
156596d2b901
hex39108b4a00

245090699776 has 80 divisors (see below), whose sum is σ = 529252953768. Its totient is φ = 112715366400.

The previous prime is 245090699761. The next prime is 245090699783. The reversal of 245090699776 is 677996090542.

It can be written as a sum of positive squares in 4 ways, for example, as 111556000000 + 133534699776 = 334000^2 + 365424^2 .

It is a super-2 number, since 2×2450906997762 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1804816 + ... + 1935856.

Almost surely, 2245090699776 is an apocalyptic number.

245090699776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245090699776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264626476884).

245090699776 is an abundant number, since it is smaller than the sum of its proper divisors (284162253992).

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

245090699776 is a wasteful number, since it uses less digits than its factorization.

245090699776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131353 (or 131337 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 64.

The spelling of 245090699776 in words is "two hundred forty-five billion, ninety million, six hundred ninety-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 281 416 512 562 832 1124 1664 2248 3328 3653 4496 6656 7306 8992 14612 17984 29224 35968 58448 71936 116896 131041 143872 233792 262082 467584 524164 935168 1048328 1703533 1870336 2096656 3407066 4193312 6814132 8386624 13628264 16773248 27256528 33546496 36822521 54513056 67092992 73645042 109026112 147290084 218052224 294580168 436104448 478692773 589160336 872208896 957385546 1178320672 1914771092 2356641344 3829542184 4713282688 7659084368 9426565376 15318168736 18853130752 30636337472 61272674944 122545349888 245090699776