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45363964848 = 24337731312671
BaseRepresentation
bin101010001111111001…
…110010101110110000
311100002111022011222020
4222033321302232300
51220401133333343
632501231111440
73164106224166
oct521771625660
9140074264866
1045363964848
1118269859244
128960372580
13437c446767
1422a4b33236
1512a7884b83
hexa8fe72bb0

45363964848 has 160 divisors (see below), whose sum is σ = 122983652352. Its totient is φ = 14394931200.

The previous prime is 45363964799. The next prime is 45363964853. The reversal of 45363964848 is 84846936354.

It is a junction number, because it is equal to n+sod(n) for n = 45363964791 and 45363964800.

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, 16982553 + ... + 16985223.

Almost surely, 245363964848 is an apocalyptic number.

45363964848 is a gapful number since it is divisible by the number (48) 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 45363964848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61491826176).

45363964848 is an abundant number, since it is smaller than the sum of its proper divisors (77619687504).

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

45363964848 is a wasteful number, since it uses less digits than its factorization.

45363964848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2917 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 60.

The spelling of 45363964848 in words is "forty-five billion, three hundred sixty-three million, nine hundred sixty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 73 74 111 131 146 148 219 222 262 292 296 393 438 444 524 584 592 786 876 888 1048 1168 1572 1752 1776 2096 2671 2701 3144 3504 4847 5342 5402 6288 8013 8103 9563 9694 10684 10804 14541 16026 16206 19126 19388 21368 21608 28689 29082 32052 32412 38252 38776 42736 43216 57378 58164 64104 64824 76504 77552 98827 114756 116328 128208 129648 153008 194983 197654 229512 232656 296481 349901 353831 389966 395308 459024 584949 592962 699802 707662 779932 790616 1049703 1061493 1169898 1185924 1399604 1415324 1559864 1581232 2099406 2122986 2339796 2371848 2799208 2830648 3119728 4198812 4245972 4679592 4743696 5598416 5661296 7214371 8397624 8491944 9359184 12946337 14428742 16795248 16983888 21643113 25542773 25892674 28857484 38839011 43286226 51085546 51785348 57714968 76628319 77678022 86572452 102171092 103570696 115429936 153256638 155356044 173144904 204342184 207141392 306513276 310712088 346289808 408684368 613026552 621424176 945082601 1226053104 1890165202 2835247803 3780330404 5670495606 7560660808 11340991212 15121321616 22681982424 45363964848