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468511249896 = 233217419335869
BaseRepresentation
bin1101101000101010111…
…00100101010111101000
31122210022100120110122200
412310111130211113220
530134002334444041
6555121530020200
745564100626234
oct6642534452750
91583270513580
10468511249896
11170770428488
1276973577660
1335246502171
14189671a35c4
15c2c14831b6
hex6d157255e8

468511249896 has 96 divisors (see below), whose sum is σ = 1376293955400. Its totient is φ = 143398932480.

The previous prime is 468511249861. The next prime is 468511249951. The reversal of 468511249896 is 698942115864.

468511249896 is a `hidden beast` number, since 4 + 6 + 8 + 51 + 1 + 2 + 498 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 404610488100 + 63900761796 = 636090^2 + 252786^2 .

It is a super-2 number, since 2×4685112498962 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4617751 + ... + 4718118.

Almost surely, 2468511249896 is an apocalyptic number.

It is an amenable number.

468511249896 is an abundant number, since it is smaller than the sum of its proper divisors (907782705504).

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

468511249896 is a wasteful number, since it uses less digits than its factorization.

468511249896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9335939 (or 9335932 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 468511249896 in words is "four hundred sixty-eight billion, five hundred eleven million, two hundred forty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 41 51 68 72 82 102 123 136 153 164 204 246 306 328 369 408 492 612 697 738 984 1224 1394 1476 2091 2788 2952 4182 5576 6273 8364 12546 16728 25092 50184 9335869 18671738 28007607 37343476 56015214 74686952 84022821 112030428 158709773 168045642 224060856 317419546 336091284 382770629 476129319 634839092 672182568 765541258 952258638 1148311887 1269678184 1428387957 1531082516 1904517276 2296623774 2856775914 3062165032 3444935661 3809034552 4593247548 5713551828 6507100693 6889871322 9186495096 11427103656 13014201386 13779742644 19521302079 26028402772 27559485288 39042604158 52056805544 58563906237 78085208316 117127812474 156170416632 234255624948 468511249896