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245305454231304 = 23337116139916553
BaseRepresentation
bin110111110001101010100000…
…011101011111111100001000
31012011112222020212200212211000
4313301222200131133330020
5224123041032240400204
62225415434150335000
7102445506556305135
oct6761524035377410
91164488225625730
10245305454231304
11711865058a4955
1223619a1035a460
13a6b52887269ac
144480bc112958c
151d55e5791a039
hexdf1aa075ff08

245305454231304 has 128 divisors (see below), whose sum is σ = 691429744339200. Its totient is φ = 80566828392960.

The previous prime is 245305454231273. The next prime is 245305454231347. The reversal of 245305454231304 is 403132454503542.

245305454231304 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 0 + 545 + 42 + 31 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 245305454231304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19778692 + ... + 29695244.

It is an arithmetic number, because the mean of its divisors is an integer number (5401794877650).

Almost surely, 2245305454231304 is an apocalyptic number.

245305454231304 is a gapful number since it is divisible by the number (24) 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 245305454231304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345714872169600).

245305454231304 is an abundant number, since it is smaller than the sum of its proper divisors (446124290107896).

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

245305454231304 is a wasteful number, since it uses less digits than its factorization.

245305454231304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9918252 (or 9918242 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 245305454231304 in words is "two hundred forty-five trillion, three hundred five billion, four hundred fifty-four million, two hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 852 1278 1613 1704 1917 2556 3226 3834 4839 5112 6452 7668 9678 12904 14517 15336 19356 29034 38712 43551 58068 87102 114523 116136 174204 229046 343569 348408 458092 687138 916184 1030707 1374276 2061414 2748552 3092121 4122828 6184242 8245656 9916553 12368484 19833106 24736968 29749659 39666212 59499318 79332424 89248977 118998636 178497954 237997272 267746931 356995908 535493862 704075263 713991816 1070987724 1408150526 2112225789 2141975448 2816301052 4224451578 5632602104 6336677367 8448903156 12673354734 15995399989 16897806312 19010032101 25346709468 31990799978 38020064202 47986199967 50693418936 63981599956 76040128404 95972399934 127963199912 143958599901 152080256808 191944799868 287917199802 383889599736 431875799703 575834399604 863751599406 1135673399219 1151668799208 1727503198812 2271346798438 3407020197657 3455006397624 4542693596876 6814040395314 9085387193752 10221060592971 13628080790628 20442121185942 27256161581256 30663181778913 40884242371884 61326363557826 81768484743768 122652727115652 245305454231304