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84970873453842 = 23229991293955889
BaseRepresentation
bin10011010100011111010010…
…101110100111110100010010
3102010212010200021020022002100
4103110133102232213310102
542114130322101010332
6500415025210101230
723616641312250345
oct2324372256476422
9363763607208070
1084970873453842
112508aa43973452
129643b1171a816
1338549467c1b8c
1416da87dcdc45c
159c544a06767c
hex4d47d2ba7d12

84970873453842 has 96 divisors (see below), whose sum is σ = 190712418624000. Its totient is φ = 27309568366080.

The previous prime is 84970873453787. The next prime is 84970873453891. The reversal of 84970873453842 is 24835437807948.

84970873453842 is a `hidden beast` number, since 8 + 4 + 9 + 7 + 0 + 87 + 3 + 4 + 538 + 4 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520322634 + ... + 1520378522.

It is an arithmetic number, because the mean of its divisors is an integer number (1986587694000).

Almost surely, 284970873453842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84970873453842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95356209312000).

84970873453842 is an abundant number, since it is smaller than the sum of its proper divisors (105741545170158).

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

84970873453842 is a wasteful number, since it uses less digits than its factorization.

84970873453842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59856 (or 59853 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 84970873453842 in words is "eighty-four trillion, nine hundred seventy billion, eight hundred seventy-three million, four hundred fifty-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 991 1982 2939 2973 5878 5946 8817 8919 17634 17838 26451 28739 52902 55889 57478 85231 86217 111778 167667 170462 172434 255693 258651 335334 503001 511386 517302 767079 1006002 1534158 1620781 2912549 3241562 4862343 5825098 8737647 9724686 14587029 17475294 26212941 29174058 52425882 55385999 84463921 110771998 164257771 166157997 168927842 253391763 328515542 332315994 492773313 498473991 506783526 760175289 985546626 996947982 1478319939 1520350578 1606193971 2956639878 3212387942 4763475359 4818581913 9526950718 9637163826 14290426077 14455745739 28580852154 28911491478 42871278231 85742556462 162779451061 325558902122 488338353183 976676706366 1465015059549 2930030119098 4720604080769 9441208161538 14161812242307 28323624484614 42485436726921 84970873453842