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148682640960 = 263657831097
BaseRepresentation
bin1000101001111000101…
…1010000111001000000
3112012202221121202000000
42022132023100321000
54414000224002320
6152145345000000
713512331411230
oct2123613207100
9465687552000
10148682640960
1158068524877
1224995623000
1311036677179
1472a6831cc0
153d03110c90
hex229e2d0e40

148682640960 has 784 divisors, whose sum is σ = 614535175296. Its totient is φ = 33544544256.

The previous prime is 148682640929. The next prime is 148682640971. The reversal of 148682640960 is 69046286841.

It is a super-3 number, since 3×1486826409603 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 148682640897 and 148682640906.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 135535132 + ... + 135536228.

Almost surely, 2148682640960 is an apocalyptic number.

148682640960 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 148682640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307267587648).

148682640960 is an abundant number, since it is smaller than the sum of its proper divisors (465852534336).

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

148682640960 is an equidigital number, since it uses as much as digits as its factorization.

148682640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 148682640960 in words is "one hundred forty-eight billion, six hundred eighty-two million, six hundred forty thousand, nine hundred sixty".