Search a number
-
+
153150702711552 = 2834713219328591
BaseRepresentation
bin100010110100101000101101…
…001110110111001100000000
3202002021001201210111000210000
4202310220231032313030000
5130033210114343232202
61301420243405440000
744154526120005450
oct4264505516671400
9662231653430700
10153150702711552
1144886937060737
1215215770570000
13675c0843c6900
1429b6768145d60
1512a8c042ad91c
hex8b4a2d3b7300

153150702711552 has 1080 divisors, whose sum is σ = 594886794754560. Its totient is φ = 38265414819840.

The previous prime is 153150702711497. The next prime is 153150702711577. The reversal of 153150702711552 is 255117207051351.

It is a happy number.

153150702711552 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 5 + 0 + 70 + 27 + 1 + 1 + 552 = 666.

It is a super-2 number, since 2×1531507027115522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153150702711498 and 153150702711507.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 465918777 + ... + 466247367.

Almost surely, 2153150702711552 is an apocalyptic number.

153150702711552 is a gapful number since it is divisible by the number (12) 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 153150702711552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297443397377280).

153150702711552 is an abundant number, since it is smaller than the sum of its proper divisors (441736092043008).

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

153150702711552 is a wasteful number, since it uses less digits than its factorization.

153150702711552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328671 (or 328635 counting only the distinct ones).

The product of its (nonzero) digits is 367500, while the sum is 45.

The spelling of 153150702711552 in words is "one hundred fifty-three trillion, one hundred fifty billion, seven hundred two million, seven hundred eleven thousand, five hundred fifty-two".