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245114054496 = 253213933718169
BaseRepresentation
bin1110010001000111101…
…1111010011101100000
3212102200102100002220200
43210101323322131200
513003443144220441
6304334232505200
723465104041453
oct3442173723540
9772612302820
10245114054496
1194a52548063
123b60824b200
131a163a54c8c
14bc1395d49a
156598de17b6
hex3911efa760

245114054496 has 144 divisors (see below), whose sum is σ = 704179803600. Its totient is φ = 80871727104.

The previous prime is 245114054491. The next prime is 245114054551. The reversal of 245114054496 is 694450411542.

245114054496 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 14 + 0 + 544 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2451140544962 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245114054491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13481700 + ... + 13499868.

It is an arithmetic number, because the mean of its divisors is an integer number (4890137525).

Almost surely, 2245114054496 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 245114054496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352089901800).

245114054496 is an abundant number, since it is smaller than the sum of its proper divisors (459065749104).

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

245114054496 is a wasteful number, since it uses less digits than its factorization.

245114054496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18661 (or 18650 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 245114054496 in words is "two hundred forty-five billion, one hundred fourteen million, fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 337 417 556 674 834 1011 1112 1251 1348 1668 2022 2224 2502 2696 3033 3336 4044 4448 5004 5392 6066 6672 8088 10008 10784 12132 13344 16176 18169 20016 24264 32352 36338 40032 46843 48528 54507 72676 93686 97056 109014 140529 145352 163521 187372 218028 281058 290704 327042 374744 421587 436056 562116 581408 654084 749488 843174 872112 1124232 1308168 1498976 1686348 1744224 2248464 2525491 2616336 3372696 4496928 5050982 5232672 6122953 6745392 7576473 10101964 12245906 13490784 15152946 18368859 20203928 22729419 24491812 30305892 36737718 40407856 45458838 48983624 55106577 60611784 73475436 80815712 90917676 97967248 110213154 121223568 146950872 181835352 195934496 220426308 242447136 293901744 363670704 440852616 587803488 727341408 851090467 881705232 1702180934 1763410464 2553271401 3404361868 5106542802 6808723736 7659814203 10213085604 13617447472 15319628406 20426171208 27234894944 30639256812 40852342416 61278513624 81704684832 122557027248 245114054496