Search a number
-
+
70351724410 = 251121731710789
BaseRepresentation
bin100000110000101001…
…0100001111101111010
320201120221011220001121
41001201102201331322
52123040020140120
652152533335454
75040244535152
oct1014122417572
9221527156047
1070351724410
1127921794900
121177479758a
1368322856c6
143595611762
151c6b43a5aa
hex10614a1f7a

70351724410 has 96 divisors (see below), whose sum is σ = 147858132240. Its totient is φ = 23999416320.

The previous prime is 70351724381. The next prime is 70351724411. The reversal of 70351724410 is 1442715307.

It can be written as a sum of positive squares in 8 ways, for example, as 20188715569 + 50163008841 = 142087^2 + 223971^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (70351724411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6515296 + ... + 6526084.

Almost surely, 270351724410 is an apocalyptic number.

70351724410 is an abundant number, since it is smaller than the sum of its proper divisors (77506407830).

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

70351724410 is a wasteful number, since it uses less digits than its factorization.

70351724410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11152 (or 11141 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 70351724410 in words is "seventy billion, three hundred fifty-one million, seven hundred twenty-four thousand, four hundred ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 242 317 374 605 634 935 1210 1585 1870 2057 3170 3487 4114 5389 6974 10285 10778 10789 17435 20570 21578 26945 34870 38357 53890 53945 59279 76714 107890 118558 118679 183413 191785 237358 296395 366826 383570 592790 593395 652069 917065 1186790 1304138 1305469 1834130 2017543 2610938 3260345 3420113 4035086 6520690 6527345 6840226 10087715 13054690 17100565 20175430 22192973 34201130 37621243 44385946 58141921 75242486 110964865 116283842 188106215 221929730 290709605 376212430 413833673 581419210 639561131 827667346 1279122262 2069168365 3197805655 4138336730 6395611310 7035172441 14070344882 35175862205 70351724410