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64232643420 = 223251182739227
BaseRepresentation
bin111011110100100100…
…000101101101011100
320010210111001100222100
4323310210011231130
52023022024042140
645301424245100
74432513313661
oct736444055534
9203714040870
1064232643420
112527171a780
1210547470790
13609862511a
143174a85a68
151a0e12e530
hexef4905b5c

64232643420 has 144 divisors (see below), whose sum is σ = 212814096768. Its totient is φ = 15552324480.

The previous prime is 64232643407. The next prime is 64232643443. The reversal of 64232643420 is 2434623246.

64232643420 is a `hidden beast` number, since 6 + 4 + 2 + 3 + 2 + 643 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1617847 + ... + 1657073.

It is an arithmetic number, because the mean of its divisors is an integer number (1477875672).

Almost surely, 264232643420 is an apocalyptic number.

64232643420 is a gapful number since it is divisible by the number (60) 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 64232643420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106407048384).

64232643420 is an abundant number, since it is smaller than the sum of its proper divisors (148581453348).

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

64232643420 is a wasteful number, since it uses less digits than its factorization.

64232643420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40080 (or 40075 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 64232643420 in words is "sixty-four billion, two hundred thirty-two million, six hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 827 990 1654 1980 2481 3308 4135 4962 7443 8270 9097 9924 12405 14886 16540 18194 24810 27291 29772 36388 37215 39227 45485 49620 54582 74430 78454 81873 90970 109164 117681 136455 148860 156908 163746 181940 196135 235362 272910 327492 353043 392270 409365 431497 470724 545820 588405 706086 784540 818730 862994 1176810 1294491 1412172 1637460 1725988 1765215 2157485 2353620 2588982 3530430 3883473 4314970 5177964 6472455 7060860 7766946 8629940 12944910 15533892 19417365 25889820 32440729 38834730 64881458 77669460 97322187 129762916 162203645 194644374 291966561 324407290 356848019 389288748 486610935 583933122 648814580 713696038 973221870 1070544057 1167866244 1427392076 1459832805 1784240095 1946443740 2141088114 2919665610 3211632171 3568480190 4282176228 5352720285 5839331220 6423264342 7136960380 10705440570 12846528684 16058160855 21410881140 32116321710 64232643420