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150706671072 = 2534368353453
BaseRepresentation
bin1000110001011011010…
…0010100110111100000
3112102000000012010100020
42030112310110313200
54432121401433242
6153122250553440
713613436365526
oct2142664246740
9472000163306
10150706671072
1158a06a94631
122525b438880
1311299ab6119
147419584316
153dc0b6d6ec
hex2316d14de0

150706671072 has 96 divisors (see below), whose sum is σ = 405405399168. Its totient is φ = 48994530816.

The previous prime is 150706671061. The next prime is 150706671091. The reversal of 150706671072 is 270176607051.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2792698 + ... + 2846150.

It is an arithmetic number, because the mean of its divisors is an integer number (4222972908).

Almost surely, 2150706671072 is an apocalyptic number.

150706671072 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 150706671072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202702699584).

150706671072 is an abundant number, since it is smaller than the sum of its proper divisors (254698728096).

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

150706671072 is a wasteful number, since it uses less digits than its factorization.

150706671072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54192 (or 54184 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 150706671072 in words is "one hundred fifty billion, seven hundred six million, six hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 683 688 1032 1366 1376 2049 2064 2732 4098 4128 5464 8196 10928 16392 21856 29369 32784 53453 58738 65568 88107 106906 117476 160359 176214 213812 234952 320718 352428 427624 469904 641436 704856 855248 939808 1282872 1409712 1710496 2298479 2565744 2819424 4596958 5131488 6895437 9193916 13790874 18387832 27581748 36508399 36775664 55163496 73016798 73551328 109525197 110326992 146033596 219050394 220653984 292067192 438100788 584134384 876201576 1168268768 1569861157 1752403152 3139722314 3504806304 4709583471 6279444628 9419166942 12558889256 18838333884 25117778512 37676667768 50235557024 75353335536 150706671072