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34722380538 = 2334736593739
BaseRepresentation
bin100000010101100111…
…010111101011111010
310022121212021200122000
4200111213113223322
51032102412134123
623541245041430
72336311236066
oct402547275372
9108555250560
1034722380538
11137a897346a
126890556276
133374860a01
1419756c0aa6
15d834e2b43
hex8159d7afa

34722380538 has 64 divisors (see below), whose sum is σ = 78845184000. Its totient is φ = 11321744112.

The previous prime is 34722380527. The next prime is 34722380569. The reversal of 34722380538 is 83508322743.

34722380538 is a `hidden beast` number, since 34 + 7 + 2 + 2 + 3 + 80 + 538 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34722380493 and 34722380502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9284673 + ... + 9288411.

It is an arithmetic number, because the mean of its divisors is an integer number (1231956000).

Almost surely, 234722380538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34722380538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39422592000).

34722380538 is an abundant number, since it is smaller than the sum of its proper divisors (44122803462).

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

34722380538 is a wasteful number, since it uses less digits than its factorization.

34722380538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7456 (or 7450 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 34722380538 in words is "thirty-four billion, seven hundred twenty-two million, three hundred eighty thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2538 3659 3739 7318 7478 10977 11217 21954 22434 32931 33651 65862 67302 98793 100953 171973 175733 197586 201906 343946 351466 515919 527199 1031838 1054398 1547757 1581597 3095514 3163194 4643271 4744791 9286542 9489582 13681001 27362002 41043003 82086006 123129009 246258018 369387027 643007047 738774054 1286014094 1929021141 3858042282 5787063423 11574126846 17361190269 34722380538