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153768051416 = 2372745858061
BaseRepresentation
bin1000111100110101001…
…0100100001011011000
3112200220100201100200102
42033031102210023120
510004404110121131
6154350130554532
714052341604620
oct2171522441330
9480810640612
10153768051416
115a238068a31
1225974738a48
131166710b995
147629da7880
153eee7d91cb
hex23cd4a42d8

153768051416 has 16 divisors (see below), whose sum is σ = 329502967440. Its totient is φ = 65900593440.

The previous prime is 153768051407. The next prime is 153768051427. The reversal of 153768051416 is 614150867351.

It is a happy number.

It is a super-2 number, since 2×1537680514162 (a number of 23 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 1372928975 + ... + 1372929086.

It is an arithmetic number, because the mean of its divisors is an integer number (20593935465).

Almost surely, 2153768051416 is an apocalyptic number.

It is an amenable number.

153768051416 is an abundant number, since it is smaller than the sum of its proper divisors (175734916024).

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

153768051416 is a wasteful number, since it uses less digits than its factorization.

153768051416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745858074 (or 2745858070 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 47.

The spelling of 153768051416 in words is "one hundred fifty-three billion, seven hundred sixty-eight million, fifty-one thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 2745858061 5491716122 10983432244 19221006427 21966864488 38442012854 76884025708 153768051416