Search a number
-
+
46026811488 = 2537106364433
BaseRepresentation
bin101010110111011010…
…010110100001100000
311101210200120021121210
4222313122112201200
51223230330431423
633051110150120
73216405304530
oct526732264140
9141720507553
1046026811488
1118579a31789
128b06352340
134456877bc8
142328b994c0
1512e5b68b93
hexab7696860

46026811488 has 96 divisors (see below), whose sum is σ = 138212476416. Its totient is φ = 13137942528.

The previous prime is 46026811487. The next prime is 46026811507. The reversal of 46026811488 is 88411862064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46026811487) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 682120 + ... + 746552.

It is an arithmetic number, because the mean of its divisors is an integer number (1439713296).

Almost surely, 246026811488 is an apocalyptic number.

46026811488 is a gapful number since it is divisible by the number (48) 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 46026811488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69106238208).

46026811488 is an abundant number, since it is smaller than the sum of its proper divisors (92185664928).

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

46026811488 is a wasteful number, since it uses less digits than its factorization.

46026811488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65516 (or 65508 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 46026811488 in words is "forty-six billion, twenty-six million, eight hundred eleven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1063 2126 3189 4252 6378 7441 8504 12756 14882 17008 22323 25512 29764 34016 44646 51024 59528 64433 89292 102048 119056 128866 178584 193299 238112 257732 357168 386598 451031 515464 714336 773196 902062 1030928 1353093 1546392 1804124 2061856 2706186 3092784 3608248 5412372 6185568 7216496 10824744 14432992 21649488 43298976 68492279 136984558 205476837 273969116 410953674 479445953 547938232 821907348 958891906 1095876464 1438337859 1643814696 1917783812 2191752928 2876675718 3287629392 3835567624 5753351436 6575258784 7671135248 11506702872 15342270496 23013405744 46026811488