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46660052442520 = 23511222974196999
BaseRepresentation
bin10101001101111111000111…
…10110011101110110011000
320010012122202021120210001201
422212333203312131312120
522103434241411130040
6243123155425523544
712554035411540246
oct1246774366356630
9203178667523051
1046660052442520
111395a4651a6a00
1252970451a35b4
132006040b43cca
14b74503d73796
1555db05b83a9a
hex2a6fe3d9dd98

46660052442520 has 96 divisors (see below), whose sum is σ = 115447130820000. Its totient is φ = 16959901038080.

The previous prime is 46660052442517. The next prime is 46660052442529. The reversal of 46660052442520 is 2524425006664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46660052442529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9018981 + ... + 13215979.

It is an arithmetic number, because the mean of its divisors is an integer number (1202574279375).

Almost surely, 246660052442520 is an apocalyptic number.

46660052442520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46660052442520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57723565410000).

46660052442520 is an abundant number, since it is smaller than the sum of its proper divisors (68787078377480).

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

46660052442520 is a wasteful number, since it uses less digits than its factorization.

46660052442520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199329 (or 4199314 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 46.

The spelling of 46660052442520 in words is "forty-six trillion, six hundred sixty billion, fifty-two million, four hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2297 2420 4594 4840 9188 11485 18376 22970 25267 45940 50534 91880 101068 126335 202136 252670 277937 505340 555874 1010680 1111748 1389685 2223496 2779370 4196999 5558740 8393998 11117480 16787996 20984995 33575992 41969990 46166989 83939980 92333978 167879960 184667956 230834945 369335912 461669890 507836879 923339780 1015673758 1846679560 2031347516 2539184395 4062695032 5078368790 9640506703 10156737580 19281013406 20313475160 38562026812 48202533515 77124053624 96405067030 106045573733 192810134060 212091147466 385620268120 424182294932 530227868665 848364589864 1060455737330 1166501311063 2120911474660 2333002622126 4241822949320 4666005244252 5832506555315 9332010488504 11665013110630 23330026221260 46660052442520