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130965708332608 = 26411439235114753
BaseRepresentation
bin11101110001110011010100…
…100001011101111001000000
3122011201012101101121111222121
4131301303110201131321000
5114131220232313120413
61142312452115014024
736404650225122022
oct3561632441357100
9564635341544877
10130965708332608
11388032770a2936
121283204689a314
1358100232c6076
14244aaba202012
151021aba54ab8d
hex771cd485de40

130965708332608 has 112 divisors (see below), whose sum is σ = 266540126791680. Its totient is φ = 63809835008000.

The previous prime is 130965708332597. The next prime is 130965708332681. The reversal of 130965708332608 is 806233807569031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8877218160 + ... + 8877232912.

It is an arithmetic number, because the mean of its divisors is an integer number (2379822560640).

Almost surely, 2130965708332608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130965708332608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133270063395840).

130965708332608 is an abundant number, since it is smaller than the sum of its proper divisors (135574418459072).

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

130965708332608 is a wasteful number, since it uses less digits than its factorization.

130965708332608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18596 (or 18586 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 61.

The spelling of 130965708332608 in words is "one hundred thirty trillion, nine hundred sixty-five billion, seven hundred eight million, three hundred thirty-two thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 1439 2351 2624 2878 4702 5756 9404 11512 14753 18808 23024 29506 37616 46048 58999 59012 75232 92096 96391 117998 118024 150464 192782 235996 236048 385564 471992 472096 604873 771128 943984 944192 1209746 1542256 1887968 2419492 3084512 3383089 3775936 4838984 6169024 6766178 9677968 13532356 19355936 21229567 27064712 34684303 38711872 42459134 54129424 69368606 84918268 108258848 138706649 138737212 169836536 216517696 277413298 277474424 339673072 554826596 554948848 679346144 870412247 1109653192 1109897696 1358692288 1422056423 1740824494 2219306384 2219795392 2844112846 3481648988 4438612768 5688225692 6963297976 8877225536 11376451384 13926595952 22752902768 27853191904 45505805536 49910712017 55706383808 91011611072 99821424034 199642848068 399285696136 798571392272 1597142784544 2046339192697 3194285569088 4092678385394 8185356770788 16370713541576 32741427083152 65482854166304 130965708332608