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150552880488 = 23326121134973
BaseRepresentation
bin1000110000110110100…
…1101010010101101000
3112101121021210202022200
42030031221222111220
54431313014133423
6153055114420200
713606561240503
oct2141551522550
9471537722280
10150552880488
11589381a347a
1225217a31660
1311273c8aa8a
147402d9013a
153db23e0d43
hex230da6a568

150552880488 has 144 divisors (see below), whose sum is σ = 418293951660. Its totient is φ = 48914933760.

The previous prime is 150552880487. The next prime is 150552880493. The reversal of 150552880488 is 884088255051.

150552880488 is a `hidden beast` number, since 1 + 5 + 0 + 552 + 8 + 8 + 0 + 4 + 88 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 723502404 + 149829378084 = 26898^2 + 387078^2 .

It is a super-2 number, since 2×1505528804882 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150552880487) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 30271570 + ... + 30276542.

Almost surely, 2150552880488 is an apocalyptic number.

150552880488 is a gapful number since it is divisible by the number (18) 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 150552880488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209146975830).

150552880488 is an abundant number, since it is smaller than the sum of its proper divisors (267741071172).

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

150552880488 is a wasteful number, since it uses less digits than its factorization.

150552880488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 4096000, while the sum is 54.

The spelling of 150552880488 in words is "one hundred fifty billion, five hundred fifty-two million, eight hundred eighty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 113 122 183 226 244 339 366 452 488 549 678 732 904 1017 1098 1356 1464 2034 2196 2712 3721 4068 4392 4973 6893 7442 8136 9946 11163 13786 14884 14919 19892 20679 22326 27572 29768 29838 33489 39784 41358 44652 44757 55144 59676 62037 66978 82716 89304 89514 119352 124074 133956 165432 179028 248148 267912 303353 358056 420473 496296 561949 606706 840946 910059 1123898 1213412 1261419 1681892 1685847 1820118 2247796 2426824 2522838 2730177 3363784 3371694 3640236 3784257 4495592 5045676 5057541 5460354 6743388 7280472 7568514 10091352 10115082 10920708 13486776 15137028 18504533 20230164 21841416 30274056 34278889 37009066 40460328 55513599 68557778 74018132 102836667 111027198 137115556 148036264 166540797 205673334 222054396 274231112 308510001 333081594 411346668 444108792 617020002 666163188 822693336 1234040004 1332326376 2091012229 2468080008 4182024458 6273036687 8364048916 12546073374 16728097832 18819110061 25092146748 37638220122 50184293496 75276440244 150552880488