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46423100132464 = 24112411094471429
BaseRepresentation
bin10101000111000101110000…
…11001001000110001110000
320002101000010200000020201011
422203202320121020301300
522041044002113214324
6242422251111320304
712530646461251666
oct1243427031106160
9202330120006634
1046423100132464
1113878a20860290
125259136380094
131cb98aacb3913
14b66c66382c36
1555788858bc94
hex2a38b8648c70

46423100132464 has 40 divisors (see below), whose sum is σ = 98528696014320. Its totient is φ = 21013851417600.

The previous prime is 46423100132429. The next prime is 46423100132467.

46423100132464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×464231001324642 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46423100132467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547193299 + ... + 547278130.

It is an arithmetic number, because the mean of its divisors is an integer number (2463217400358).

Almost surely, 246423100132464 is an apocalyptic number.

46423100132464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46423100132464 is an abundant number, since it is smaller than the sum of its proper divisors (52105595881856).

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

46423100132464 is a wasteful number, since it uses less digits than its factorization.

46423100132464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094471689 (or 1094471683 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

It can be divided in two parts, 46423100 and 132464, that added together give a palindrome (46555564).

The spelling of 46423100132464 in words is "forty-six trillion, four hundred twenty-three billion, one hundred million, one hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 241 482 964 1928 2651 3856 5302 10604 21208 42416 1094471429 2188942858 4377885716 8755771432 12039185719 17511542864 24078371438 48156742876 96313485752 192626971504 263767614389 527535228778 1055070457556 2110140915112 2901443758279 4220281830224 5802887516558 11605775033116 23211550066232 46423100132464