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1535134245330 = 2357397129714197
BaseRepresentation
bin10110010101101101001…
…000011010000111010010
312102202110010220201122010
4112111231020122013102
5200122423331322310
63133121514323350
7215624025533460
oct26255510320722
95382403821563
101535134245330
11542057295984
12209629429556
13b19bb3b119a
145442d91d830
1529debae6320
hex1656d21a1d2

1535134245330 has 128 divisors (see below), whose sum is σ = 4224812308992. Its totient is φ = 349709488128.

The previous prime is 1535134245317. The next prime is 1535134245373. The reversal of 1535134245330 is 335424315351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108123792 + ... + 108137988.

It is an arithmetic number, because the mean of its divisors is an integer number (33006346164).

Almost surely, 21535134245330 is an apocalyptic number.

1535134245330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1535134245330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112406154496).

1535134245330 is an abundant number, since it is smaller than the sum of its proper divisors (2689678063662).

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

1535134245330 is a wasteful number, since it uses less digits than its factorization.

1535134245330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15908.

The product of its (nonzero) digits is 324000, while the sum is 39.

The spelling of 1535134245330 in words is "one trillion, five hundred thirty-five billion, one hundred thirty-four million, two hundred forty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 397 794 1191 1297 1985 2382 2594 2779 3891 3970 5558 5955 6485 7782 8337 9079 11910 12970 13895 14197 16674 18158 19455 27237 27790 28394 38910 41685 42591 45395 54474 70985 83370 85182 90790 99379 136185 141970 198758 212955 272370 298137 425910 496895 514909 596274 993790 1029818 1490685 1544727 2574545 2981370 3089454 3604363 5149090 5636209 7208726 7723635 10813089 11272418 15447270 16908627 18021815 18413509 21626178 28181045 33817254 36043630 36827018 39453463 54065445 55240527 56362090 78906926 84543135 92067545 108130890 110481054 118360389 128894563 169086270 184135090 197267315 236720778 257789126 276202635 386683689 394534630 552405270 591801945 644472815 773367378 1183603890 1288945630 1933418445 3866836890 7310163073 14620326146 21930489219 36550815365 43860978438 51171141511 73101630730 102342283022 109652446095 153513424533 219304892190 255855707555 307026849066 511711415110 767567122665 1535134245330