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152477484016 = 241121325124137
BaseRepresentation
bin1000111000000001011…
…1011100001111110000
3112120120102021202000211
42032000113130033300
54444233213442031
6154014105353504
714005351141504
oct2160027341760
9476512252024
10152477484016
1159735623600
1225674498894
13114bc927230
147546820304
153e7635dbb1
hex23805dc3f0

152477484016 has 120 divisors (see below), whose sum is σ = 351109996272. Its totient is φ = 63719040000.

The previous prime is 152477484001. The next prime is 152477484023. The reversal of 152477484016 is 610484774251.

152477484016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6305100 + ... + 6329236.

Almost surely, 2152477484016 is an apocalyptic number.

152477484016 is a gapful number since it is divisible by the number (16) 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 152477484016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175554998136).

152477484016 is an abundant number, since it is smaller than the sum of its proper divisors (198632512256).

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

152477484016 is a wasteful number, since it uses less digits than its factorization.

152477484016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24431 (or 24414 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

The spelling of 152477484016 in words is "one hundred fifty-two billion, four hundred seventy-seven million, four hundred eighty-four thousand, sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 251 286 484 502 572 968 1004 1144 1573 1936 2008 2288 2761 3146 3263 4016 5522 6292 6526 11044 12584 13052 22088 24137 25168 26104 30371 35893 44176 48274 52208 60742 71786 96548 121484 143572 193096 242968 265507 287144 313781 386192 394823 485936 531014 574288 627562 789646 1062028 1255124 1579292 2124056 2510248 2920577 3158584 3451591 4248112 5020496 5841154 6058387 6317168 6903182 11682308 12116774 13806364 23364616 24233548 27612728 37967501 46729232 48467096 55225456 66642257 75935002 78759031 96934192 133284514 151870004 157518062 266569028 303740008 315036124 533138056 607480016 630072248 733064827 866349341 1066276112 1260144496 1466129654 1732698682 2932259308 3465397364 5864518616 6930794728 9529842751 11729037232 13861589456 19059685502 38119371004 76238742008 152477484016