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148918023072 = 253472131947101
BaseRepresentation
bin1000101010110000110…
…1001011001110100000
3112020101100112101120000
42022230031023032200
54414441003214242
6152224554020000
713521220211400
oct2125415131640
9466340471500
10148918023072
1158179383945
1224a40417600
131107336c120
1472c9bc4800
153d18b08a4c
hex22ac34b3a0

148918023072 has 1440 divisors, whose sum is σ = 595662439680. Its totient is φ = 36055756800.

The previous prime is 148918023049. The next prime is 148918023073. The reversal of 148918023072 is 270320819841.

It is a happy number.

148918023072 is a `hidden beast` number, since 1 + 489 + 1 + 80 + 23 + 0 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (148918023073) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1474435822 + ... + 1474435922.

It is an arithmetic number, because the mean of its divisors is an integer number (413654472).

Almost surely, 2148918023072 is an apocalyptic number.

148918023072 is a gapful number since it is divisible by the number (12) 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 148918023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297831219840).

148918023072 is an abundant number, since it is smaller than the sum of its proper divisors (446744416608).

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

148918023072 is a wasteful number, since it uses less digits than its factorization.

148918023072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 148918023072 in words is "one hundred forty-eight billion, nine hundred eighteen million, twenty-three thousand, seventy-two".