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3804518311352 = 23112310376123981
BaseRepresentation
bin110111010111001110111…
…101100110010110111000
3111110201010102102000101122
4313113032331212112320
5444313123141430402
612031434355004412
7541603340033363
oct67271675462670
914421112360348
103804518311352
11123753a448690
12515411599708
132179c28c4995
14d21d53730da
1568e6e53eca2
hex375cef665b8

3804518311352 has 128 divisors (see below), whose sum is σ = 8210270315520. Its totient is φ = 1635858048000.

The previous prime is 3804518311339. The next prime is 3804518311387. The reversal of 3804518311352 is 2531138154083.

It is a super-3 number, since 3×38045183113523 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 158635202 + ... + 158659182.

It is an arithmetic number, because the mean of its divisors is an integer number (64142736840).

Almost surely, 23804518311352 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 3804518311352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105135157760).

3804518311352 is an abundant number, since it is smaller than the sum of its proper divisors (4405752004168).

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

3804518311352 is a wasteful number, since it uses less digits than its factorization.

3804518311352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24885 (or 24881 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 3804518311352 in words is "three trillion, eight hundred four billion, five hundred eighteen million, three hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 103 184 206 253 412 506 761 824 1012 1133 1522 2024 2266 2369 3044 4532 4738 6088 8371 9064 9476 16742 17503 18952 23981 26059 33484 35006 47962 52118 66968 70012 78383 95924 104236 140024 156766 191848 192533 208472 263791 313532 385066 527582 551563 627064 770132 862213 1055164 1103126 1540264 1724426 1802809 2110328 2206252 2470043 3448852 3605618 4412504 4940086 6067193 6897704 7211236 9880172 12134386 14422472 18249541 19760344 19830899 24268772 27170473 36499082 39661798 48537544 54340946 56810989 72998164 79323596 108681892 113621978 145996328 158647192 200744951 217363784 227243956 401489902 419739443 454487912 624920879 802979804 839478886 1249841758 1605959608 1678957772 1879702723 2499683516 3357915544 3759405446 4617133873 4999367032 7518810892 9234267746 15037621784 18468535492 20676729953 36937070984 41353459906 43233162629 82706919812 86466325258 165413839624 172932650516 345865301032 475564788919 951129577838 1902259155676 3804518311352