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147075314880 = 263513432231229
BaseRepresentation
bin1000100011111001011…
…1110011010011000000
3112001121221011010010110
42020332113303103000
54402202240034010
6151322050231320
713424443356324
oct2107627632300
9461557133113
10147075314880
11574131a9a0a
1224607285540
1310b3b677950
147193191984
153c5be66120
hex223e5f34c0

147075314880 has 448 divisors, whose sum is σ = 517307535360. Its totient is φ = 35174006784.

The previous prime is 147075314839. The next prime is 147075314891. The reversal of 147075314880 is 88413570741.

It is a super-2 number, since 2×1470753148802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 119670106 + ... + 119671334.

It is an arithmetic number, because the mean of its divisors is an integer number (1154704320).

Almost surely, 2147075314880 is an apocalyptic number.

147075314880 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 147075314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258653767680).

147075314880 is an abundant number, since it is smaller than the sum of its proper divisors (370232220480).

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

147075314880 is a wasteful number, since it uses less digits than its factorization.

147075314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 147075314880 in words is "one hundred forty-seven billion, seventy-five million, three hundred fourteen thousand, eight hundred eighty".