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181401051468 = 2237131523109073
BaseRepresentation
bin1010100011110001011…
…0000110000101001100
3122100020011002012112210
42220330112012011030
510433002132121333
6215200130030420
716051200332160
oct2507426060514
9570204065483
10181401051468
116aa2818995a
122b1a6a18410
131414bca07a0
148acbd02ca0
154aba709a63
hex2a3c58614c

181401051468 has 96 divisors (see below), whose sum is σ = 521293441536. Its totient is φ = 47810184192.

The previous prime is 181401051463. The next prime is 181401051473. The reversal of 181401051468 is 864150104181.

It is an interprime number because it is at equal distance from previous prime (181401051463) and next prime (181401051473).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (181401051463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1608580 + ... + 1717652.

It is an arithmetic number, because the mean of its divisors is an integer number (5430140016).

Almost surely, 2181401051468 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 181401051468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260646720768).

181401051468 is an abundant number, since it is smaller than the sum of its proper divisors (339892390068).

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

181401051468 is a wasteful number, since it uses less digits than its factorization.

181401051468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110623 (or 110621 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The spelling of 181401051468 in words is "one hundred eighty-one billion, four hundred one million, fifty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1523 3046 4569 6092 9138 10661 18276 19799 21322 31983 39598 42644 59397 63966 79196 109073 118794 127932 138593 218146 237588 277186 327219 415779 436292 554372 654438 763511 831558 1308876 1417949 1527022 1663116 2290533 2835898 3054044 4253847 4581066 5671796 8507694 9162132 9925643 17015388 19851286 29776929 39702572 59553858 119107716 166118179 332236358 498354537 664472716 996709074 1162827253 1993418148 2159536327 2325654506 3488481759 4319072654 4651309012 6478608981 6976963518 8638145308 12957217962 13953927036 15116754289 25914435924 30233508578 45350262867 60467017156 90700525734 181401051468