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4047450547404 = 22311231571157477
BaseRepresentation
bin111010111001011110110…
…110100010010011001100
3112022221011210021021001210
4322321132312202103030
51012303134320004104
612335212331534420
7565263412002345
oct72713666422314
915287153237053
104047450547404
111320572354200
1255450abba410
13234899612b14
14ddc7d2290cc
157043bb06989
hex3ae5eda24cc

4047450547404 has 144 divisors (see below), whose sum is σ = 10734345509888. Its totient is φ = 1184849424000.

The previous prime is 4047450547403. The next prime is 4047450547477.

4047450547404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40474505474042 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4047450547403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 25623114 + ... + 25780590.

Almost surely, 24047450547404 is an apocalyptic number.

4047450547404 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 4047450547404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367172754944).

4047450547404 is an abundant number, since it is smaller than the sum of its proper divisors (6686894962484).

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

4047450547404 is a wasteful number, since it uses less digits than its factorization.

4047450547404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158108 (or 158095 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 48.

The spelling of 4047450547404 in words is "four trillion, forty-seven billion, four hundred fifty million, five hundred forty-seven thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 341 363 372 484 571 682 726 1023 1142 1364 1452 1713 2046 2284 3426 3751 4092 6281 6852 7502 11253 12562 15004 17701 18843 22506 25124 35402 37686 45012 53103 69091 70804 75372 106206 138182 157477 194711 207273 212412 276364 314954 389422 414546 472431 584133 629908 778844 829092 944862 1168266 1732247 1889724 2141821 2336532 3464494 4283642 4881787 5196741 6425463 6928988 8567284 9763574 10393482 12850926 14645361 19054717 19527148 20786964 25701852 29290722 38109434 53699657 57164151 58581444 76218868 89919367 107399314 114328302 161098971 179838734 214798628 228656604 269758101 322197942 359677468 539516202 590696227 644395884 989113037 1079032404 1181392454 1772088681 1978226074 2362784908 2787500377 2967339111 3544177362 3956452148 5575000754 5934678222 7088354724 8362501131 10880243407 11150001508 11869356444 16725002262 21760486814 30662504147 32640730221 33450004524 43520973628 61325008294 65281460442 91987512441 122650016588 130562920884 183975024882 337287545617 367950049764 674575091234 1011862636851 1349150182468 2023725273702 4047450547404