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145600001512 = 23737433162287
BaseRepresentation
bin1000011110011001101…
…1111011010111101000
3111220211010002102122121
42013212123323113220
54341142100022022
6150515425201024
713343050410220
oct2074633732750
9456733072577
10145600001512
1156826450169
1224275190174
1310964b1a064
147093277080
153bc26962c7
hex21e66fb5e8

145600001512 has 64 divisors (see below), whose sum is σ = 321174443520. Its totient is φ = 60572924928.

The previous prime is 145600001429. The next prime is 145600001513. The reversal of 145600001512 is 215100006541.

It is a happy number.

It is a super-2 number, since 2×1456000015122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145600001513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816033 + ... + 978319.

It is an arithmetic number, because the mean of its divisors is an integer number (5018350680).

Almost surely, 2145600001512 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 145600001512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160587221760).

145600001512 is an abundant number, since it is smaller than the sum of its proper divisors (175574442008).

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

145600001512 is a wasteful number, since it uses less digits than its factorization.

145600001512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162770 (or 162766 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 145600001512 in words is "one hundred forty-five billion, six hundred million, one thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 433 518 866 1036 1732 2072 3031 3464 6062 12124 16021 24248 32042 64084 112147 128168 162287 224294 324574 448588 649148 897176 1136009 1298296 2272018 4544036 6004619 9088072 12009238 24018476 42032333 48036952 70270271 84064666 140540542 168129332 281081084 336258664 491891897 562162168 983783794 1967567588 2600000027 3935135176 5200000054 10400000108 18200000189 20800000216 36400000378 72800000756 145600001512