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70682507792 = 241317157127321
BaseRepresentation
bin100000111010100000…
…0010111101000010000
320202102222121102112222
41001311000113220100
52124224210222132
652245431240212
75051402255201
oct1016500275020
9222388542488
1070682507792
1127a814842a6
1211847519068
136885970c10
1435c75195a8
151c8a4ca412
hex1075017a10

70682507792 has 80 divisors (see below), whose sum is σ = 157153035312. Its totient is φ = 30507909120.

The previous prime is 70682507789. The next prime is 70682507821. The reversal of 70682507792 is 29770528607.

It can be written as a sum of positive squares in 8 ways, for example, as 1326125056 + 69356382736 = 36416^2 + 263356^2 .

It is a super-2 number, since 2×706825077922 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491492 + ... + 618812.

Almost surely, 270682507792 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 70682507792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78576517656).

70682507792 is an abundant number, since it is smaller than the sum of its proper divisors (86470527520).

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

70682507792 is a wasteful number, since it uses less digits than its factorization.

70682507792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127516 (or 127510 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 53.

The spelling of 70682507792 in words is "seventy billion, six hundred eighty-two million, five hundred seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 157 208 221 272 314 442 628 884 1256 1768 2041 2512 2669 3536 4082 5338 8164 10676 16328 21352 32656 34697 42704 69394 127321 138788 254642 277576 509284 555152 1018568 1655173 2037136 2164457 3310346 4328914 6620692 8657828 13241384 17315656 19989397 26482768 28137941 34631312 39978794 56275882 79957588 112551764 159915176 225103528 259862161 319830352 339819749 450207056 519724322 679639498 1039448644 1359278996 2078897288 2718557992 4157794576 4417656737 5437115984 8835313474 17670626948 35341253896 70682507792