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42823777732824 = 23311232306637579
BaseRepresentation
bin10011011110010101100000…
…00011110100100011011000
312121121220122200220120201110
421233022300003310203120
521103111044044422244
6231024545533020320
712006626063536044
oct1157126003644330
9177556580816643
1042823777732824
111271050a131210
1249776506246a0
131ab835a02219a
14a809791cd024
154e3e287259b9
hex26f2b00f48d8

42823777732824 has 96 divisors (see below), whose sum is σ = 122090818852800. Its totient is φ = 12412689157440.

The previous prime is 42823777732789. The next prime is 42823777732831.

42823777732824 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153179134 + ... + 153458445.

It is an arithmetic number, because the mean of its divisors is an integer number (1271779363050).

Almost surely, 242823777732824 is an apocalyptic number.

42823777732824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42823777732824 is an abundant number, since it is smaller than the sum of its proper divisors (79267041119976).

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

42823777732824 is a wasteful number, since it uses less digits than its factorization.

42823777732824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306637645 (or 306637618 counting only the distinct ones).

The product of its digits is 354041856, while the sum is 66.

The spelling of 42823777732824 in words is "forty-two trillion, eight hundred twenty-three billion, seven hundred seventy-seven million, seven hundred thirty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 529 552 759 1012 1058 1518 1587 2024 2116 3036 3174 4232 5819 6072 6348 11638 12696 17457 23276 34914 46552 69828 139656 306637579 613275158 919912737 1226550316 1839825474 2453100632 3373013369 3679650948 6746026738 7052664317 7359301896 10119040107 13492053476 14105328634 20238080214 21157992951 26984106952 28210657268 40476160428 42315985902 56421314536 77579307487 80952320856 84631971804 155158614974 162211279291 169263943608 232737922461 310317229948 324422558582 465475844922 486633837873 620634459896 648845117164 930951689844 973267675746 1297690234328 1784324072201 1861903379688 1946535351492 3568648144402 3893070702984 5352972216603 7137296288804 10705944433206 14274592577608 21411888866412 42823777732824