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150188765080 = 235174716672819
BaseRepresentation
bin1000101111011111110…
…0101010111110011000
3112100122220122202212211
42023313330222332120
54430041310440310
6152555030244504
713564550303524
oct2136774527630
9470586582784
10150188765080
1158770708152
1225135ab6734
1311216701a83
1473aa88ad84
153d90469c8a
hex22f7f2af98

150188765080 has 128 divisors (see below), whose sum is σ = 365764377600. Its totient is φ = 55285823488.

The previous prime is 150188765059. The next prime is 150188765087. The reversal of 150188765080 is 80567881051.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150188765087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53275911 + ... + 53278729.

It is an arithmetic number, because the mean of its divisors is an integer number (2857534200).

Almost surely, 2150188765080 is an apocalyptic number.

150188765080 is a gapful number since it is divisible by the number (10) 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 150188765080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182882188800).

150188765080 is an abundant number, since it is smaller than the sum of its proper divisors (215575612520).

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

150188765080 is a wasteful number, since it uses less digits than its factorization.

150188765080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 49.

The spelling of 150188765080 in words is "one hundred fifty billion, one hundred eighty-eight million, seven hundred sixty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 47 68 85 94 136 170 188 235 340 376 470 680 799 940 1598 1667 1880 2819 3196 3334 3995 5638 6392 6668 7990 8335 11276 13336 14095 15980 16670 22552 28190 28339 31960 33340 47923 56380 56678 66680 78349 95846 112760 113356 132493 141695 156698 191692 226712 239615 264986 283390 313396 383384 391745 479230 529972 566780 626792 662465 783490 958460 1059944 1133560 1324930 1331933 1566980 1916920 2252381 2649860 2663866 3133960 4504762 4699273 5299720 5327732 6659665 9009524 9398546 10655464 11261905 13319330 18019048 18797092 22523810 23496365 26638660 37594184 45047620 46992730 53277320 79887641 90095240 93985460 159775282 187970920 220865831 319550564 399438205 441731662 639101128 798876410 883463324 1104329155 1597752820 1766926648 2208658310 3195505640 3754719127 4417316620 7509438254 8834633240 15018876508 18773595635 30037753016 37547191270 75094382540 150188765080