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150551152000 = 275347200201
BaseRepresentation
bin1000110000110110001…
…1000100010110000000
3112101121011112221021121
42030031203010112000
54431312043331000
6153055013402024
713606540451254
oct2141543042600
9471534487247
10150551152000
1158937222877
1225217339314
13112738040c2
147402a60264
153db219db1a
hex230d8c4580

150551152000 has 128 divisors (see below), whose sum is σ = 382273706880. Its totient is φ = 58938880000.

The previous prime is 150551151977. The next prime is 150551152009. The reversal of 150551152000 is 251155051.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150551152009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651900 + ... + 852100.

It is an arithmetic number, because the mean of its divisors is an integer number (2986513335).

Almost surely, 2150551152000 is an apocalyptic number.

150551152000 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 150551152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191136853440).

150551152000 is an abundant number, since it is smaller than the sum of its proper divisors (231722554880).

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

150551152000 is an equidigital number, since it uses as much as digits as its factorization.

150551152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200277 (or 200255 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 25.

The spelling of 150551152000 in words is "one hundred fifty billion, five hundred fifty-one million, one hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 125 128 160 188 200 235 250 320 376 400 470 500 640 752 800 940 1000 1175 1504 1600 1880 2000 2350 3008 3200 3760 4000 4700 5875 6016 7520 8000 9400 11750 15040 16000 18800 23500 30080 37600 47000 75200 94000 150400 188000 200201 376000 400402 752000 800804 1001005 1601608 2002010 3203216 4004020 5005025 6406432 8008040 9409447 10010050 12812864 16016080 18818894 20020100 25025125 25625728 32032160 37637788 40040200 47047235 50050250 64064320 75275576 80080400 94094470 100100500 128128640 150551152 160160800 188188940 200201000 235236175 301102304 320321600 376377880 400402000 470472350 602204608 640643200 752755760 800804000 940944700 1176180875 1204409216 1505511520 1601608000 1881889400 2352361750 3011023040 3203216000 3763778800 4704723500 6022046080 7527557600 9409447000 15055115200 18818894000 30110230400 37637788000 75275576000 150551152000