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147151844539456 = 26832182692
BaseRepresentation
bin100001011101010101110101…
…011010111111110001000000
3201022000120122001111100022011
4201131111311122333301000
5123241413434200230311
61240544342452022304
742665240612610511
oct4135256532776100
9638016561440264
10147151844539456
1142983824002509
121460701b001994
1364154897a1333
14284a289c62a08
151202b556c0321
hex85d5756bfc40

147151844539456 has 63 divisors (see below), whose sum is σ = 295581133749301. Its totient is φ = 72685486532864.

The previous prime is 147151844539439. The next prime is 147151844539457. The reversal of 147151844539456 is 654935448151741.

The square root of 147151844539456 is 12130616.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 106349388757056 + 40802455782400 = 10312584^2 + 6387680^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 147151844539391 and 147151844539400.

It is not an unprimeable number, because it can be changed into a prime (147151844539457) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8054719890 + ... + 8054738158.

Almost surely, 2147151844539456 is an apocalyptic number.

147151844539456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

147151844539456 is the 12130616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147151844539456

147151844539456 is an abundant number, since it is smaller than the sum of its proper divisors (148429289209845).

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

147151844539456 is an frugal number, since it uses more digits than its factorization.

147151844539456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36716 (or 18354 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 67.

The spelling of 147151844539456 in words is "one hundred forty-seven trillion, one hundred fifty-one billion, eight hundred forty-four million, five hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 83 166 332 664 1328 2656 5312 6889 13778 18269 27556 36538 55112 73076 110224 146152 220448 292304 440896 584608 1169216 1516327 3032654 6065308 12130616 24261232 48522464 97044928 125855141 251710282 333756361 503420564 667512722 1006841128 1335025444 2013682256 2670050888 4027364512 5340101776 8054729024 10680203552 21360407104 27701777963 55403555926 110807111852 221614223704 443228447408 886456894816 1772913789632 2299247570929 4598495141858 9196990283716 18393980567432 36787961134864 73575922269728 147151844539456