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46064661604812 = 2233717547795997
BaseRepresentation
bin10100111100101010000111…
…10010101010100111001100
320001002201221110200102121000
422132111003302222213030
522014210411332323222
6241545451405540300
712463030154115204
oct1236250362524714
9201081843612530
1046064661604812
111374aa05633244
1251bb781b74690
131c91b57091286
14b53781cd3404
1554d3aa7b89ac
hex29e543caa9cc

46064661604812 has 96 divisors (see below), whose sum is σ = 121125168944640. Its totient is φ = 15136596256320.

The previous prime is 46064661604789. The next prime is 46064661604861. The reversal of 46064661604812 is 21840616646064.

46064661604812 is a `hidden beast` number, since 4 + 6 + 0 + 6 + 4 + 6 + 616 + 0 + 4 + 8 + 12 = 666.

46064661604812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57472398 + ... + 58268394.

It is an arithmetic number, because the mean of its divisors is an integer number (1261720509840).

Almost surely, 246064661604812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46064661604812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60562584472320).

46064661604812 is an abundant number, since it is smaller than the sum of its proper divisors (75060507339828).

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

46064661604812 is a wasteful number, since it uses less digits than its factorization.

46064661604812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803628 (or 803620 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 46064661604812 in words is "forty-six trillion, sixty-four billion, six hundred sixty-one million, six hundred four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3834 7547 7668 15094 22641 30188 45282 67923 90564 135846 203769 271692 407538 535837 795997 815076 1071674 1591994 1607511 2143348 2387991 3183988 3215022 4775982 4822533 6430044 7163973 9551964 9645066 14327946 14467599 19290132 21491919 28655892 28935198 42983838 56515787 57870396 85967676 113031574 169547361 226063148 339094722 508642083 678189444 1017284166 1525926249 2034568332 3051852498 6007389359 6103704996 12014778718 18022168077 24029557436 36044336154 54066504231 72088672308 108133008462 162199512693 216266016924 324399025386 426524644489 648798050772 853049288978 1279573933467 1706098577956 2559147866934 3838721800401 5118295733868 7677443600802 11516165401203 15354887201604 23032330802406 46064661604812