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152550096960 = 2635198779973
BaseRepresentation
bin1000111000010010110…
…0011100000001000000
3112120202110220212021010
42032010230130001000
54444410311100320
6154025222000520
714010222300162
oct2160454340100
9476673825233
10152550096960
11597726097a8
1225694876140
131150199c181
147552322932
153e7c903ae0
hex2384b1c040

152550096960 has 112 divisors (see below), whose sum is σ = 484596374976. Its totient is φ = 40659044352.

The previous prime is 152550096931. The next prime is 152550096991. The reversal of 152550096960 is 69690055251.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1867534 + ... + 1947506.

It is an arithmetic number, because the mean of its divisors is an integer number (4326753348).

Almost surely, 2152550096960 is an apocalyptic number.

152550096960 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 152550096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242298187488).

152550096960 is an abundant number, since it is smaller than the sum of its proper divisors (332046278016).

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

152550096960 is a wasteful number, since it uses less digits than its factorization.

152550096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81980 (or 81970 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 48.

The spelling of 152550096960 in words is "one hundred fifty-two billion, five hundred fifty million, ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1987 3974 5961 7948 9935 11922 15896 19870 23844 29805 31792 39740 47688 59610 63584 79480 79973 95376 119220 127168 158960 159946 190752 238440 239919 317920 319892 381504 399865 476880 479838 635840 639784 799730 953760 959676 1199595 1279568 1599460 1907520 1919352 2399190 2559136 3198920 3838704 4798380 5118272 6397840 7677408 9596760 12795680 15354816 19193520 25591360 38387040 76774080 158906351 317812702 476719053 635625404 794531755 953438106 1271250808 1589063510 1906876212 2383595265 2542501616 3178127020 3813752424 4767190530 5085003232 6356254040 7627504848 9534381060 10170006464 12712508080 15255009696 19068762120 25425016160 30510019392 38137524240 50850032320 76275048480 152550096960