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150014205510 = 235131750944453
BaseRepresentation
bin1000101110110110001…
…0110001111001000110
3112100012202012020011120
42023231202301321012
54424212114034020
6152525433014410
713560330464511
oct2135542617106
9470182166146
10150014205510
1158691120a44
12250a7554406
13111b94b42a0
14739160bd78
153d7ee88740
hex22ed8b1e46

150014205510 has 128 divisors (see below), whose sum is σ = 411352421760. Its totient is φ = 34685362176.

The previous prime is 150014205499. The next prime is 150014205511. The reversal of 150014205510 is 15502410051.

150014205510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150014205511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3352444 + ... + 3396896.

It is an arithmetic number, because the mean of its divisors is an integer number (3213690795).

Almost surely, 2150014205510 is an apocalyptic number.

150014205510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150014205510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205676210880).

150014205510 is an abundant number, since it is smaller than the sum of its proper divisors (261338216250).

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

150014205510 is a wasteful number, since it uses less digits than its factorization.

150014205510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45002.

The product of its (nonzero) digits is 1000, while the sum is 24.

Adding to 150014205510 its reverse (15502410051), we get a palindrome (165516615561).

The spelling of 150014205510 in words is "one hundred fifty billion, fourteen million, two hundred five thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 509 510 663 1018 1105 1326 1527 2210 2545 3054 3315 5090 6617 6630 7635 8653 13234 15270 17306 19851 25959 33085 39702 43265 44453 51918 66170 86530 88906 99255 112489 129795 133359 198510 222265 224978 259590 266718 337467 444530 562445 577889 666795 674934 755701 1124890 1155778 1333590 1511402 1687335 1733667 2267103 2889445 3374670 3467334 3778505 4534206 5778890 7557010 8668335 9824113 11335515 17336670 19648226 22626577 22671030 29472339 45253154 49120565 58944678 67879731 98241130 113132885 135759462 147361695 226265770 294145501 294723390 339398655 384651809 588291002 678797310 769303618 882436503 1153955427 1470727505 1764873006 1923259045 2307910854 2941455010 3846518090 4412182515 5000473517 5769777135 8824365030 10000947034 11539554270 15001420551 25002367585 30002841102 50004735170 75007102755 150014205510