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150923640320 = 295467126241
BaseRepresentation
bin1000110010001110111…
…1111111111000000000
3112102120010110022012022
42030203233333320000
54433042422442240
6153200001221012
713622012530115
oct2144357777000
9472503408168
10150923640320
1159008507862
1225300031768
1311302a321ab
14743a30290c
153dd4c2a9b5
hex2323bffe00

150923640320 has 80 divisors (see below), whose sum is σ = 362640749328. Its totient is φ = 60239708160.

The previous prime is 150923640293. The next prime is 150923640331. The reversal of 150923640320 is 23046329051.

150923640320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1132400 + ... + 1258640.

Almost surely, 2150923640320 is an apocalyptic number.

150923640320 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 150923640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181320374664).

150923640320 is an abundant number, since it is smaller than the sum of its proper divisors (211717109008).

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

150923640320 is an equidigital number, since it uses as much as digits as its factorization.

150923640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126731 (or 126715 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

Adding to 150923640320 its reverse (23046329051), we get a palindrome (173969969371).

The spelling of 150923640320 in words is "one hundred fifty billion, nine hundred twenty-three million, six hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 467 512 640 934 1280 1868 2335 2560 3736 4670 7472 9340 14944 18680 29888 37360 59776 74720 119552 126241 149440 239104 252482 298880 504964 597760 631205 1009928 1195520 1262410 2019856 2524820 4039712 5049640 8079424 10099280 16158848 20198560 32317696 40397120 58954547 64635392 80794240 117909094 161588480 235818188 294772735 323176960 471636376 589545470 943272752 1179090940 1886545504 2358181880 3773091008 4716363760 7546182016 9432727520 15092364032 18865455040 30184728064 37730910080 75461820160 150923640320