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42535698960 = 24352927722063
BaseRepresentation
bin100111100111010100…
…110100001000010000
311001210101102101112210
4213213110310020100
51144103114331320
631312435352120
73034034322066
oct474724641020
9131711371483
1042535698960
1117048325217
1282b1152640
13401b500951
1420b7272036
15118e4150e0
hex9e7534210

42535698960 has 160 divisors (see below), whose sum is σ = 136906237440. Its totient is φ = 10911688704.

The previous prime is 42535698913. The next prime is 42535698971. The reversal of 42535698960 is 6989653524.

It is a self number, because there is not a number n which added to its sum of digits gives 42535698960.

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, 1916889 + ... + 1938951.

It is an arithmetic number, because the mean of its divisors is an integer number (855663984).

Almost surely, 242535698960 is an apocalyptic number.

42535698960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42535698960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68453118720).

42535698960 is an abundant number, since it is smaller than the sum of its proper divisors (94370538480).

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

42535698960 is a wasteful number, since it uses less digits than its factorization.

42535698960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22385 (or 22379 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 42535698960 in words is "forty-two billion, five hundred thirty-five million, six hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 277 290 348 435 464 554 580 696 831 870 1108 1160 1385 1392 1662 1740 2216 2320 2770 3324 3480 4155 4432 5540 6648 6960 8033 8310 11080 13296 16066 16620 22063 22160 24099 32132 33240 40165 44126 48198 64264 66189 66480 80330 88252 96396 110315 120495 128528 132378 160660 176504 192792 220630 240990 264756 321320 330945 353008 385584 441260 481980 529512 639827 642640 661890 882520 963960 1059024 1279654 1323780 1765040 1919481 1927920 2559308 2647560 3199135 3838962 5118616 5295120 6111451 6398270 7677924 9597405 10237232 12222902 12796540 15355848 18334353 19194810 24445804 25593080 30557255 30711696 36668706 38389620 48891608 51186160 61114510 73337412 76779240 91671765 97783216 122229020 146674824 153558480 177232079 183343530 244458040 293349648 354464158 366687060 488916080 531696237 708928316 733374120 886160395 1063392474 1417856632 1466748240 1772320790 2126784948 2658481185 2835713264 3544641580 4253569896 5316962370 7089283160 8507139792 10633924740 14178566320 21267849480 42535698960