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46032433423064 = 231173137397131749
BaseRepresentation
bin10100111011101110000101…
…10101111010001011011000
320000222122202102200011110222
422131313002311322023120
522013143410424014224
6241523001420055212
712460506420103514
oct1235670265721330
9200878672604428
1046032433423064
11137382776712a0
1251b5488994508
131c8babc1ab34a
14b51da5993144
1554c621257b5e
hex29ddc2d7a2d8

46032433423064 has 128 divisors (see below), whose sum is σ = 96386676840000. Its totient is φ = 20434810429440.

The previous prime is 46032433423063. The next prime is 46032433423099.

46032433423064 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46032433423063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349329062 + ... + 349460810.

Almost surely, 246032433423064 is an apocalyptic number.

46032433423064 is a gapful number since it is divisible by the number (44) 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 46032433423064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48193338420000).

46032433423064 is an abundant number, since it is smaller than the sum of its proper divisors (50354243416936).

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

46032433423064 is a wasteful number, since it uses less digits than its factorization.

46032433423064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132373 (or 132369 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 44.

The spelling of 46032433423064 in words is "forty-six trillion, thirty-two billion, four hundred thirty-three million, four hundred twenty-three thousand, sixty-four".

Divisors: 1 2 4 8 11 22 44 73 88 137 146 274 292 397 548 584 794 803 1096 1507 1588 1606 3014 3176 3212 4367 6028 6424 8734 10001 12056 17468 20002 28981 34936 40004 54389 57962 80008 108778 110011 115924 131749 217556 220022 231848 263498 318791 435112 440044 526996 598279 637582 880088 1053992 1196558 1275164 1449239 2393116 2550328 2898478 3970397 4786232 5796956 7940794 9617677 11593912 15881588 18049613 19235354 31763176 36099226 38470708 43674367 52304353 72198452 76941416 87348734 104608706 105794447 144396904 174697468 198545743 209217412 211588894 349394936 397091486 418434824 423177788 575347883 794182972 846355576 1150695766 1317621749 1588365944 2301391532 2635243498 3818217769 4602783064 5270486996 7165696361 7636435538 10540973992 14331392722 14493839239 15272871076 28662785444 28987678478 30545742152 42000395459 57325570888 57975356956 78822659971 84000790918 115950713912 157645319942 168001581836 315290639884 336003163672 523095834353 630581279768 1046191668706 2092383337412 4184766674824 5754054177883 11508108355766 23016216711532 46032433423064