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45323455432354 = 211237379137113371
BaseRepresentation
bin10100100111000101100000…
…11101100000011010100010
312221110212202112111120210121
422103202300131200122202
521420034414042313404
6240221150305150454
712355340322444121
oct1223426035403242
9187425675446717
1045323455432354
111349462a014370
1250bbba562b42a
131c39ca29c8c88
14b2994a165ab8
15538e78dbee54
hex2938b07606a2

45323455432354 has 128 divisors (see below), whose sum is σ = 80024016199680. Its totient is φ = 19049642726400.

The previous prime is 45323455432291. The next prime is 45323455432369.

It is a happy number.

45323455432354 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×453234554323542 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 399723289 + ... + 399836659.

It is an arithmetic number, because the mean of its divisors is an integer number (625187626560).

Almost surely, 245323455432354 is an apocalyptic number.

45323455432354 is a deficient number, since it is larger than the sum of its proper divisors (34700560767326).

45323455432354 is a wasteful number, since it uses less digits than its factorization.

45323455432354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113696.

The product of its digits is 51840000, while the sum is 52.

It can be divided in two parts, 4532345 and 5432354, that added together give a palindrome (9964699).

The spelling of 45323455432354 in words is "forty-five trillion, three hundred twenty-three billion, four hundred fifty-five million, four hundred thirty-two thousand, three hundred fifty-four".

Divisors: 1 2 11 22 23 46 73 79 137 146 158 253 274 506 803 869 1507 1606 1679 1738 1817 3014 3151 3358 3634 5767 6302 10001 10823 11534 18469 19987 20002 21646 34661 36938 39974 63437 69322 110011 113371 119053 126874 132641 220022 226742 230023 238106 248929 265282 460046 497858 790079 1247081 1459051 1580158 2494162 2530253 2607533 2738219 2918102 5060506 5215066 5476438 8276083 8690869 8956309 15531827 16552166 17381738 17912618 18171817 28682863 31063654 36343634 57365726 91036913 98519399 170850097 182073826 190349909 197038798 199889987 205995107 341700194 357232021 380699818 399779974 411990214 653810557 714464042 1133823371 1227014333 1307621114 2093848999 2265946177 2267646742 2454028666 3929552231 4187697998 4531892354 7191916127 7859104462 12472057081 13497157663 14383832254 15037642811 24944114162 26077937533 26994315326 28221329659 30075285622 52155875066 56442659318 89572046309 165414070921 179144092618 286857312863 310434626249 330828141842 573714625726 620869252498 985292509399 1970585018798 2060157065107 4120314130214 22661727716177 45323455432354