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148685199360 = 2113529475367
BaseRepresentation
bin1000101001111001010…
…1000001100000000000
3112012210010102201110120
42022132111001200000
54414001402334420
6152145515500240
713512362225145
oct2123625014000
9465703381416
10148685199360
1158069a11a55
1224996457680
1311037061809
1472a6cda3cc
153d03468d40
hex229e541800

148685199360 has 768 divisors, whose sum is σ = 519673190400. Its totient is φ = 36212047872.

The previous prime is 148685199359. The next prime is 148685199373. The reversal of 148685199360 is 63991586841.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 148685199294 and 148685199303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2219182047 + ... + 2219182113.

It is an arithmetic number, because the mean of its divisors is an integer number (676657800).

Almost surely, 2148685199360 is an apocalyptic number.

148685199360 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 148685199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259836595200).

148685199360 is an abundant number, since it is smaller than the sum of its proper divisors (370987991040).

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

148685199360 is a wasteful number, since it uses less digits than its factorization.

148685199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 148685199360 in words is "one hundred forty-eight billion, six hundred eighty-five million, one hundred ninety-nine thousand, three hundred sixty".