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242116077570 = 235171621292867
BaseRepresentation
bin1110000101111100111…
…1100010100000000010
3212010221111010002201020
43201133033202200002
512431323203440240
6303120535450310
723330601463113
oct3413717424002
9763844102636
10242116077570
1193754239684
123ab10226996
1319aa68cb533
14ba0b72220a
156470aec0d0
hex385f3e2802

242116077570 has 64 divisors (see below), whose sum is σ = 615641337216. Its totient is φ = 60728693760.

The previous prime is 242116077509. The next prime is 242116077571. The reversal of 242116077570 is 75770611242.

It is not an unprimeable number, because it can be changed into a prime (242116077571) 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 31 ways as a sum of consecutive naturals, for example, 680277 + ... + 973143.

It is an arithmetic number, because the mean of its divisors is an integer number (9619395894).

Almost surely, 2242116077570 is an apocalyptic number.

242116077570 is an abundant number, since it is smaller than the sum of its proper divisors (373525259646).

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

242116077570 is a wasteful number, since it uses less digits than its factorization.

242116077570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294515.

The product of its (nonzero) digits is 164640, while the sum is 42.

It can be divided in two parts, 2421160 and 77570, that added together give a triangular number (2498730 = T2235).

The spelling of 242116077570 in words is "two hundred forty-two billion, one hundred sixteen million, seventy-seven thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 1621 3242 4863 8105 9726 16210 24315 27557 48630 55114 82671 137785 165342 275570 292867 413355 585734 826710 878601 1464335 1757202 2928670 4393005 4978739 8786010 9957478 14936217 24893695 29872434 49787390 74681085 149362170 474737407 949474814 1424212221 2373687035 2848424442 4747374070 7121061105 8070535919 14242122210 16141071838 24211607757 40352679595 48423215514 80705359190 121058038785 242116077570