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46342433424364 = 2273119731656311
BaseRepresentation
bin10101000100101111100000…
…10010000100001111101100
320002002021220212100220010121
422202113300102010033230
522033233300424034424
6242321230420014324
712522062462455000
oct1242276022041754
9202067825326117
1046342433424364
1113847796583580
1252455832313a4
131cb20c39c7b8c
14b62db2c58700
155557167c4ee4
hex2a25f04843ec

46342433424364 has 96 divisors (see below), whose sum is σ = 104237904153600. Its totient is φ = 17869353868800.

The previous prime is 46342433424323. The next prime is 46342433424379.

46342433424364 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×463424334243642 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14364232 + ... + 17292079.

It is an arithmetic number, because the mean of its divisors is an integer number (1085811501600).

Almost surely, 246342433424364 is an apocalyptic number.

46342433424364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46342433424364 is an abundant number, since it is smaller than the sum of its proper divisors (57895470729236).

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

46342433424364 is a wasteful number, since it uses less digits than its factorization.

46342433424364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31656444 (or 31656428 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 52.

The spelling of 46342433424364 in words is "forty-six trillion, three hundred forty-two billion, four hundred thirty-three million, four hundred twenty-four thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 97 98 154 194 196 308 343 388 539 679 686 1067 1078 1358 1372 2134 2156 2716 3773 4268 4753 7469 7546 9506 14938 15092 19012 29876 33271 52283 66542 104566 133084 209132 365981 731962 1463924 31656311 63312622 126625244 221594177 348219421 443188354 696438842 886376708 1392877684 1551159239 2437535947 3070662167 3102318478 4875071894 6141324334 6204636956 9750143788 10858114673 12282648668 17062751629 21494635169 21716229346 33777283837 34125503258 42989270338 43432458692 67554567674 68251006516 85978540676 119439261403 135109135348 150462446183 236440986859 238878522806 300924892366 472881973718 477757045612 601849784732 945763947436 1053237123281 1655086908013 2106474246562 3310173816026 4212948493124 6620347632052 11585608356091 23171216712182 46342433424364