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148426923415680 = 27345713174993709
BaseRepresentation
bin100001101111111001010110…
…000010111001100010000000
3201110112110211111100112120000
4201233321112002321202000
5123423311314343300210
61243402215353320000
743156330346333520
oct4157712602714200
9643473744315500
10148426923415680
1143325560871538
1214792170406000
1364a87a27bac90
142891c89717680
151225dd1803ac0
hex86fe560b9880

148426923415680 has 2560 divisors, whose sum is σ = 692326958400000. Its totient is φ = 29407308152832.

The previous prime is 148426923415621. The next prime is 148426923415703. The reversal of 148426923415680 is 86514329624841.

148426923415680 is a `hidden beast` number, since 1 + 4 + 8 + 4 + 2 + 6 + 9 + 23 + 41 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 40018041666 + ... + 40018045374.

It is an arithmetic number, because the mean of its divisors is an integer number (270440218125).

Almost surely, 2148426923415680 is an apocalyptic number.

148426923415680 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 148426923415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346163479200000).

148426923415680 is an abundant number, since it is smaller than the sum of its proper divisors (543900034984320).

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

148426923415680 is a wasteful number, since it uses less digits than its factorization.

148426923415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 148426923415680 in words is "one hundred forty-eight trillion, four hundred twenty-six billion, nine hundred twenty-three million, four hundred fifteen thousand, six hundred eighty".