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46364433446364 = 223111729224567791
BaseRepresentation
bin10101000101011000011111…
…00101011111010111011100
320002011101201002021210210020
422202230033211133113130
522034113324430240424
6242335305432512140
712523501611534555
oct1242541745372734
9202141632253706
1046364433446364
1113856055a64740
1252498a2b4b650
131cb41bb856b87
14b6409ca0332c
155560a2e0a079
hex2a2b0f95f5dc

46364433446364 has 144 divisors (see below), whose sum is σ = 129418411239936. Its totient is φ = 12767389107200.

The previous prime is 46364433446351. The next prime is 46364433446417.

46364433446364 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46364433446298 and 46364433446307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10396692 + ... + 14171099.

It is an arithmetic number, because the mean of its divisors is an integer number (898738966944).

Almost surely, 246364433446364 is an apocalyptic number.

46364433446364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46364433446364 is an abundant number, since it is smaller than the sum of its proper divisors (83053977793572).

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

46364433446364 is a wasteful number, since it uses less digits than its factorization.

46364433446364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24567884 (or 24567853 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 60.

The spelling of 46364433446364 in words is "forty-six trillion, three hundred sixty-four billion, four hundred thirty-three million, four hundred forty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 17 22 29 33 34 44 51 58 66 68 87 102 116 132 174 187 204 319 348 374 493 561 638 748 841 957 986 1122 1276 1479 1682 1914 1972 2244 2523 2958 3364 3828 5046 5423 5916 9251 10092 10846 14297 16269 18502 21692 27753 28594 32538 37004 42891 55506 57188 65076 85782 111012 157267 171564 314534 471801 629068 943602 1887204 24567791 49135582 73703373 98271164 147406746 270245701 294813492 417652447 540491402 712465939 810737103 835304894 1080982804 1252957341 1424931878 1621474206 1670609788 2137397817 2505914682 2849863756 3242948412 4274795634 4594176917 5011829364 7837125329 8549591268 9188353834 12111920963 13782530751 15674250658 18376707668 20661512231 23511375987 24223841926 27565061502 31348501316 36335762889 41323024462 47022751974 48447683852 55130123004 61984536693 72671525778 82646048924 94045503948 123969073386 133231130593 145343051556 227276634541 247938146772 266462261186 351245707927 399693391779 454553269082 532924522372 681829903623 702491415854 799386783558 909106538164 1053737123781 1363659807246 1404982831708 1598773567116 2107474247562 2727319614492 3863702787197 4214948495124 7727405574394 11591108361591 15454811148788 23182216723182 46364433446364