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148664986800 = 2435211671071571
BaseRepresentation
bin1000101001110100011…
…1111010110010110000
3112012201201101211001020
42022131013322302300
54413431214034200
6152143514335440
713512025352331
oct2123507726260
9465651354036
10148664986800
1158059566a60
122498b72a580
1311032b05715
1472a4358288
153d017c4ea0
hex229d1facb0

148664986800 has 480 divisors, whose sum is σ = 532537058304. Its totient is φ = 35147904000.

The previous prime is 148664986787. The next prime is 148664986831. The reversal of 148664986800 is 8689466841.

148664986800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94630015 + ... + 94631585.

Almost surely, 2148664986800 is an apocalyptic number.

148664986800 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 148664986800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266268529152).

148664986800 is an abundant number, since it is smaller than the sum of its proper divisors (383872071504).

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

148664986800 is a wasteful number, since it uses less digits than its factorization.

148664986800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 148664986800 in words is "one hundred forty-eight billion, six hundred sixty-four million, nine hundred eighty-six thousand, eight hundred".