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4580461046040 = 23351119182634013
BaseRepresentation
bin100001010100111100011…
…0000001110100100011000
3121012212222012120001102220
41002221320300032210120
51100021241011433130
613424122412424040
7651633044330565
oct102517060164430
917185865501386
104580461046040
111506620936930
1261b883178020
13272c21744a09
1411b9a463386c
157e2357cd410
hex42a78c0e918

4580461046040 has 128 divisors (see below), whose sum is σ = 15779578809600. Its totient is φ = 1051971909120.

The previous prime is 4580461046033. The next prime is 4580461046089. The reversal of 4580461046040 is 406401640854.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4580461045983 and 4580461046001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91291927 + ... + 91342086.

It is an arithmetic number, because the mean of its divisors is an integer number (123277959450).

Almost surely, 24580461046040 is an apocalyptic number.

4580461046040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4580461046040 is an abundant number, since it is smaller than the sum of its proper divisors (11199117763560).

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

4580461046040 is a wasteful number, since it uses less digits than its factorization.

4580461046040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182634057 (or 182634053 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

Adding to 4580461046040 its reverse (406401640854), we get a palindrome (4986862686894).

The spelling of 4580461046040 in words is "four trillion, five hundred eighty billion, four hundred sixty-one million, forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4180 5016 6270 8360 12540 25080 182634013 365268026 547902039 730536052 913170065 1095804078 1461072104 1826340130 2008974143 2191608156 2739510195 3470046247 3652680260 4017948286 4383216312 5479020390 6026922429 6940092494 7305360520 8035896572 10044870715 10410138741 10958040780 12053844858 13880184988 16071793144 17350231235 20089741430 20820277482 21916081560 24107689716 27760369976 30134612145 34700462470 38170508717 40179482860 41640554964 48215379432 52050693705 60269224290 69400924940 76341017434 80358965720 83281109928 104101387410 114511526151 120538448580 138801849880 152682034868 190852543585 208202774820 229023052302 241076897160 305364069736 381705087170 416405549640 458046104604 572557630755 763410174340 916092209208 1145115261510 1526820348680 2290230523020 4580461046040