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150610231419648 = 283711134153891013
BaseRepresentation
bin100010001111101010101101…
…010101111110001100000000
3201202021012022222112211010020
4202033222231111332030000
5124220044223220412043
61252153215105133440
743503141636221250
oct4217525525761400
9652235288484106
10150610231419648
1143a97493265880
1214a8533192a280
13660663a11c090
142929807463960
151262ab761de83
hex88faad57e300

150610231419648 has 2304 divisors, whose sum is σ = 568595835924480. Its totient is φ = 34142787993600.

The previous prime is 150610231419623. The next prime is 150610231419709. The reversal of 150610231419648 is 846914132016051.

It is a happy number.

It is a super-2 number, since 2×1506102314196482 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150610231419648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 148677424390 + ... + 148677425402.

It is an arithmetic number, because the mean of its divisors is an integer number (246786387120).

Almost surely, 2150610231419648 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 150610231419648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284297917962240).

150610231419648 is an abundant number, since it is smaller than the sum of its proper divisors (417985604504832).

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

150610231419648 is a wasteful number, since it uses less digits than its factorization.

150610231419648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 150610231419648 in words is "one hundred fifty trillion, six hundred ten billion, two hundred thirty-one million, four hundred nineteen thousand, six hundred forty-eight".