Search a number
-
+
96834421386 = 23219479916079
BaseRepresentation
bin101101000101111001…
…0000000001010001010
3100020221120001021202100
41122023302000022022
53041304102441021
6112252441414230
76665435000223
oct1321362001212
9306846037670
1096834421386
113808156302a
121692579a376
139192a334c1
14498887624a
1527bb38a626
hex168bc8028a

96834421386 has 96 divisors (see below), whose sum is σ = 225814118400. Its totient is φ = 29893548960.

The previous prime is 96834421381. The next prime is 96834421417. The reversal of 96834421386 is 68312443869.

96834421386 is a `hidden beast` number, since 9 + 6 + 8 + 344 + 213 + 86 = 666.

It is a super-2 number, since 2×968344213862 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96834421381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15926295 + ... + 15932373.

It is an arithmetic number, because the mean of its divisors is an integer number (2352230400).

Almost surely, 296834421386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96834421386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112907059200).

96834421386 is an abundant number, since it is smaller than the sum of its proper divisors (128979697014).

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

96834421386 is a wasteful number, since it uses less digits than its factorization.

96834421386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7144 (or 7141 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 96834421386 in words is "ninety-six billion, eight hundred thirty-four million, four hundred twenty-one thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 846 893 991 1786 1982 2679 2973 5358 5946 6079 8037 8919 12158 16074 17838 18237 18829 36474 37658 46577 54711 56487 93154 109422 112974 115501 139731 169461 231002 279462 285713 338922 346503 419193 571426 693006 838386 857139 884963 1039509 1714278 1769926 2079018 2571417 2654889 5142834 5309778 5428547 6024289 7964667 10857094 12048578 15929334 16285641 18072867 32571282 36145734 48856923 54218601 97713846 108437202 114461491 228922982 283141583 343384473 566283166 686768946 849424749 1030153419 1698849498 2060306838 2548274247 5096548494 5379690077 10759380154 16139070231 32278140462 48417210693 96834421386