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513160662640 = 245101191332513
BaseRepresentation
bin1110111011110101100…
…00100100111001110000
31211001120001022122102011
413131322300210321300
531401423112201030
61031424233532304
752034412443233
oct7357260447160
91731501278364
10513160662640
111886a28a809a
1283554574094
13395108b2a12
141aba105141a
15d53621db2a
hex777ac24e70

513160662640 has 80 divisors (see below), whose sum is σ = 1211223476736. Its totient is φ = 202167296000.

The previous prime is 513160662631. The next prime is 513160662671. The reversal of 513160662640 is 46266061315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5131606626402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 513160662593 and 513160662602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1377024 + ... + 1709536.

Almost surely, 2513160662640 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 513160662640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605611738368).

513160662640 is an abundant number, since it is smaller than the sum of its proper divisors (698062814096).

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

513160662640 is a wasteful number, since it uses less digits than its factorization.

513160662640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332818 (or 332812 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 513160662640 in words is "five hundred thirteen billion, one hundred sixty million, six hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 191 202 382 404 505 764 808 955 1010 1528 1616 1910 2020 3056 3820 4040 7640 8080 15280 19291 38582 77164 96455 154328 192910 308656 332513 385820 665026 771640 1330052 1543280 1662565 2660104 3325130 5320208 6650260 13300520 26601040 33583813 63509983 67167626 127019966 134335252 167919065 254039932 268670504 317549915 335838130 508079864 537341008 635099830 671676260 1016159728 1270199660 1343352520 2540399320 2686705040 5080798640 6414508283 12829016566 25658033132 32072541415 51316066264 64145082830 102632132528 128290165660 256580331320 513160662640