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150506101116 = 223272743114833
BaseRepresentation
bin1000110000101011011…
…1001101100101111100
3112101111000210010002100
42030022313031211330
54431214030213431
6153050324025100
713605452515500
oct2141267154574
9471430703070
10150506101116
1158913852438
1225204232190
131126738c587
1473daa94300
153dad2504e6
hex230adcd97c

150506101116 has 108 divisors (see below), whose sum is σ = 443159104752. Its totient is φ = 42943493376.

The previous prime is 150506101103. The next prime is 150506101127. The reversal of 150506101116 is 611101605051.

150506101116 is a `hidden beast` number, since 1 + 50 + 506 + 101 + 1 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 150506101116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1253236 + ... + 1368068.

It is an arithmetic number, because the mean of its divisors is an integer number (4103325044).

Almost surely, 2150506101116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150506101116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221579552376).

150506101116 is an abundant number, since it is smaller than the sum of its proper divisors (292653003636).

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

150506101116 is a wasteful number, since it uses less digits than its factorization.

150506101116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115600 (or 115588 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 150506101116 its reverse (611101605051), we get a palindrome (761607706167).

The spelling of 150506101116 in words is "one hundred fifty billion, five hundred six million, one hundred one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 743 882 1486 1764 2229 2972 4458 5201 6687 8916 10402 13374 15603 20804 26748 31206 36407 46809 62412 72814 93618 109221 114833 145628 187236 218442 229666 327663 344499 436884 459332 655326 688998 803831 1033497 1310652 1377996 1607662 2066994 2411493 3215324 4133988 4822986 5626817 7234479 9645972 11253634 14468958 16880451 22507268 28937916 33760902 50641353 67521804 85320919 101282706 170641838 202565412 255962757 341283676 511925514 597246433 767888271 1023851028 1194492866 1535776542 1791739299 2388985732 3071553084 3583478598 4180725031 5375217897 7166957196 8361450062 10750435794 12542175093 16722900124 21500871588 25084350186 37626525279 50168700372 75253050558 150506101116