Search a number
-
+
150151051152544 = 25132912446207821
BaseRepresentation
bin100010001000111111000100…
…000100010000110010100000
3201200122022002220212101111211
4202020333010010100302200
5124140033323043340134
61251202235102315504
743425025010313331
oct4210770404206240
9650568086771454
10150151051152544
114392a780a44922
1214a10343288b94
1365a224cb25410
1429114c7632288
151255b90446764
hex888fc4110ca0

150151051152544 has 48 divisors (see below), whose sum is σ = 329326658970120. Its totient is φ = 66910813240320.

The previous prime is 150151051152539. The next prime is 150151051152581. The reversal of 150151051152544 is 445251150151051.

It can be written as a sum of positive squares in 4 ways, for example, as 101055973075600 + 49095078076944 = 10052660^2 + 7006788^2 .

It is a junction number, because it is equal to n+sod(n) for n = 150151051152497 and 150151051152506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6223091847 + ... + 6223115974.

Almost surely, 2150151051152544 is an apocalyptic number.

It is an amenable number.

150151051152544 is an abundant number, since it is smaller than the sum of its proper divisors (179175607817576).

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

150151051152544 is a wasteful number, since it uses less digits than its factorization.

150151051152544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12446207873 (or 12446207865 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 40.

The spelling of 150151051152544 in words is "one hundred fifty trillion, one hundred fifty-one billion, fifty-one million, one hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 6032 12064 12446207821 24892415642 49784831284 99569662568 161800701673 199139325136 323601403346 360940026809 398278650272 647202806692 721880053618 1294405613384 1443760107236 2588811226768 2887520214472 4692220348517 5177622453536 5775040428944 9384440697034 11550080857888 18768881394068 37537762788136 75075525576272 150151051152544