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150982940640 = 253571923312107
BaseRepresentation
bin1000110010011101001…
…0001101011111100000
3112102201021001001221110
42030213102031133200
54433203113100030
6153205520223320
713623332551260
oct2144722153740
9472637031843
10150982940640
1159038a2aa94
1225317a6ab40
13113120c583c
14744413b7a0
153dda0411b0
hex232748d7e0

150982940640 has 1152 divisors, whose sum is σ = 622667243520. Its totient is φ = 29980938240.

The previous prime is 150982940639. The next prime is 150982940677. The reversal of 150982940640 is 46049289051.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 150982940640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1411055467 + ... + 1411055573.

It is an arithmetic number, because the mean of its divisors is an integer number (540509760).

Almost surely, 2150982940640 is an apocalyptic number.

150982940640 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 150982940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311333621760).

150982940640 is an abundant number, since it is smaller than the sum of its proper divisors (471684302880).

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

150982940640 is a wasteful number, since it uses less digits than its factorization.

150982940640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 150982940640 in words is "one hundred fifty billion, nine hundred eighty-two million, nine hundred forty thousand, six hundred forty".