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201216467452 = 2271121310145233
BaseRepresentation
bin1011101101100101101…
…1111010000111111100
3201020101010021122010111
42323121123322013330
511244042403424302
6232234303115404
720352221516230
oct2733133720774
9636333248114
10201216467452
11783764a5200
1232bb6ba2b64
1315c8935abc0
149a4b89a5c0
15537a1640d7
hex2ed96fa1fc

201216467452 has 144 divisors (see below), whose sum is σ = 481097244096. Its totient is φ = 71647488000.

The previous prime is 201216467407. The next prime is 201216467453. The reversal of 201216467452 is 254764612102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201216467453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4425828 + ... + 4471060.

It is an arithmetic number, because the mean of its divisors is an integer number (3340953084).

Almost surely, 2201216467452 is an apocalyptic number.

201216467452 is a gapful number since it is divisible by the number (22) 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 201216467452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240548622048).

201216467452 is an abundant number, since it is smaller than the sum of its proper divisors (279880776644).

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

201216467452 is a wasteful number, since it uses less digits than its factorization.

201216467452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45380 (or 45367 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 201216467452 in words is "two hundred one billion, two hundred sixteen million, four hundred sixty-seven thousand, four hundred fifty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 101 121 143 154 182 202 242 286 308 364 404 484 572 707 847 1001 1111 1313 1414 1573 1694 2002 2222 2626 2828 3146 3388 4004 4444 5252 6292 7777 9191 11011 12221 14443 15554 18382 22022 24442 28886 31108 36764 44044 45233 48884 57772 85547 90466 101101 158873 171094 180932 202202 316631 317746 342188 404404 497563 588029 633262 635492 995126 1112111 1176058 1266524 1990252 2224222 2352116 3482941 4116203 4448444 4568533 5473193 6468319 6965882 8232406 9137066 10946386 12936638 13931764 16464812 18274132 21892772 25873276 31979731 38312351 45278233 50253863 59390929 63959462 71151509 76624702 90556466 100507726 118781858 127918924 142303018 153249404 181112932 201015452 237563716 284606036 351777041 415736503 498060563 552792493 653300219 703554082 831473006 996121126 1105584986 1306600438 1407108164 1662946012 1992242252 2211169972 2613200876 3869547451 4573101533 7186302409 7739094902 9146203066 14372604818 15478189804 18292406132 28745209636 50304116863 100608233726 201216467452