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147322960976 = 24173719337573
BaseRepresentation
bin1000100100110100100…
…0011111110001010000
3112002021012010211201002
42021031020133301100
54403204134222401
6151402414201132
713433541335522
oct2111510376120
9462235124632
10147322960976
115752aa75104
12246761b31a8
1310b7aa74ab9
1471b8017a12
153c73a82a6b
hex224d21fc50

147322960976 has 80 divisors (see below), whose sum is σ = 310598651664. Its totient is φ = 67410911232.

The previous prime is 147322960937. The next prime is 147322960979. The reversal of 147322960976 is 679069223741.

It can be written as a sum of positive squares in 8 ways, for example, as 81325350976 + 65997610000 = 285176^2 + 256900^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147322960979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19449926 + ... + 19457498.

Almost surely, 2147322960976 is an apocalyptic number.

147322960976 is a gapful number since it is divisible by the number (16) 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 147322960976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155299325832).

147322960976 is an abundant number, since it is smaller than the sum of its proper divisors (163275690688).

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

147322960976 is a wasteful number, since it uses less digits than its factorization.

147322960976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9568 (or 9562 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 56.

The spelling of 147322960976 in words is "one hundred forty-seven billion, three hundred twenty-two million, nine hundred sixty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 1258 1933 2516 3866 5032 7573 7732 10064 15146 15464 30292 30928 32861 60584 65722 71521 121168 128741 131444 143042 257482 262888 280201 286084 514964 525776 560402 572168 1029928 1120804 1144336 1215857 2059856 2241608 2431714 4483216 4763417 4863428 9526834 9726856 14638609 19053668 19453712 29277218 38107336 58554436 76214672 117108872 234217744 248856353 497712706 541628533 995425412 1083257066 1990850824 2166514132 3981701648 4333028264 8666056528 9207685061 18415370122 36830740244 73661480488 147322960976