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3842454607524 = 223413283772
BaseRepresentation
bin110111111010100100001…
…001000101011010100100
3111121100001021020112110000
4313322210021011122210
51000423321334420044
612101111013301300
7544415415161061
oct67724411053244
914540037215400
103842454607524
1112516374a9475
1252083a334830
1321b45a257100
14d3d93821c68
1569e3ec7dd69
hex37ea42456a4

3842454607524 has 135 divisors (see below), whose sum is σ = 10878358767507. Its totient is φ = 1182152589696.

The previous prime is 3842454607507. The next prime is 3842454607529. The reversal of 3842454607524 is 4257064542483.

It is a happy number.

The square root of 3842454607524 is 1960218.

It is a perfect power (a square), and thus also a powerful number.

3842454607524 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 4 + 5 + 4 + 607 + 5 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1928437697124 + 1914016910400 = 1388682^2 + 1383480^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3842454607529) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 458686824 + ... + 458695200.

Almost surely, 23842454607524 is an apocalyptic number.

3842454607524 is the 1960218-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3842454607524

3842454607524 is an abundant number, since it is smaller than the sum of its proper divisors (7035904159983).

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

3842454607524 is an frugal number, since it uses more digits than its factorization.

3842454607524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16796 (or 8395 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 3842454607524 in words is "three trillion, eight hundred forty-two billion, four hundred fifty-four million, six hundred seven thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1404 1521 2028 2106 3042 4212 4563 6084 8377 9126 13689 16754 18252 25131 27378 33508 50262 54756 75393 100524 108901 150786 217802 226179 301572 326703 435604 452358 653406 678537 904716 980109 1306812 1357074 1415713 1960218 2714148 2831426 2940327 3920436 4247139 5662852 5880654 8494278 8820981 11761308 12741417 16988556 17641962 25482834 35283924 38224251 50965668 70174129 76448502 114672753 140348258 152897004 210522387 229345506 280696516 421044774 458691012 631567161 842089548 912263677 1263134322 1824527354 1894701483 2526268644 2736791031 3649054708 3789402966 5473582062 5684104449 7578805932 8210373093 10947164124 11368208898 11859427801 16420746186 22736417796 23718855602 24631119279 32841492372 35578283403 47437711204 49262238558 71156566806 73893357837 98524477116 106734850209 142313133612 147786715674 213469700418 295573431348 320204550627 426939400836 640409101254 960613651881 1280818202508 1921227303762 3842454607524