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150150513656 = 231121327144029
BaseRepresentation
bin1000101111010110101…
…0110000001111111000
3112100120020200101210102
42023311222300033320
54430002012414111
6152551142334532
713563604210403
oct2136552601770
9470506611712
10150150513656
1158751061300
122512512a448
131120b7cb0b0
1473a5770d3a
153d8be1113b
hex22f5ab03f8

150150513656 has 96 divisors (see below), whose sum is σ = 334494148800. Its totient is φ = 62766316800.

The previous prime is 150150513619. The next prime is 150150513659. The reversal of 150150513656 is 656315051051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150150513659) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3388250 + ... + 3432278.

It is an arithmetic number, because the mean of its divisors is an integer number (3484314050).

Almost surely, 2150150513656 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 150150513656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167247074400).

150150513656 is an abundant number, since it is smaller than the sum of its proper divisors (184343635144).

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

150150513656 is a wasteful number, since it uses less digits than its factorization.

150150513656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44341 (or 44326 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 38.

The spelling of 150150513656 in words is "one hundred fifty billion, one hundred fifty million, five hundred thirteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 271 286 484 542 572 968 1084 1144 1573 2168 2981 3146 3523 5962 6292 7046 11924 12584 14092 23848 28184 32791 38753 44029 65582 77506 88058 131164 155012 176116 262328 310024 352232 426283 484319 572377 852566 968638 1144754 1705132 1937276 2289508 3410264 3874552 4579016 5327509 6296147 10655018 11931859 12592294 21310036 23863718 25184588 42620072 47727436 50369176 69257617 95454872 131250449 138515234 155114167 262500898 277030468 310228334 525001796 554060936 620456668 1050003592 1240913336 1443754939 1706255837 2887509878 3412511674 5775019756 6825023348 11550039512 13650046696 18768814207 37537628414 75075256828 150150513656