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42555005424 = 2433239641643
BaseRepresentation
bin100111101000011110…
…011101100111110000
311001211201202021001000
4213220132131213300
51144123040133144
631314405242000
73034360402131
oct475036354760
9131751667030
1042555005424
1117058211478
1282b7703300
1340225004a9
1420b9a59c88
151190e7a769
hex9e879d9f0

42555005424 has 160 divisors (see below), whose sum is σ = 123042124800. Its totient is φ = 14081679360.

The previous prime is 42555005407. The next prime is 42555005429. The reversal of 42555005424 is 42450055524.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42555005429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66181647 + ... + 66182289.

It is an arithmetic number, because the mean of its divisors is an integer number (769013280).

Almost surely, 242555005424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42555005424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61521062400).

42555005424 is an abundant number, since it is smaller than the sum of its proper divisors (80487119376).

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

42555005424 is a wasteful number, since it uses less digits than its factorization.

42555005424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The spelling of 42555005424 in words is "forty-two billion, five hundred fifty-five million, five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 239 432 478 641 643 717 956 1282 1286 1434 1912 1923 1929 2151 2564 2572 2868 3824 3846 3858 4302 5128 5144 5736 5769 5787 6453 7692 7716 8604 10256 10288 11472 11538 11574 12906 15384 15432 17208 17307 17361 23076 23148 25812 30768 30864 34416 34614 34722 46152 46296 51624 69228 69444 92304 92592 103248 138456 138888 153199 153677 276912 277776 306398 307354 412163 459597 461031 612796 614708 824326 919194 922062 1225592 1229416 1236489 1378791 1383093 1648652 1838388 1844124 2451184 2458832 2472978 2757582 2766186 3297304 3676776 3688248 3709467 4136373 4149279 4945956 5515164 5532372 6594608 7353552 7376496 7418934 8272746 8298558 9891912 11030328 11064744 11128401 14837868 16545492 16597116 19783824 22060656 22129488 22256802 29675736 33090984 33194232 44513604 59351472 66181968 66388464 89027208 98506957 178054416 197013914 295520871 394027828 591041742 788055656 886562613 1182083484 1576111312 1773125226 2364166968 2659687839 3546250452 4728333936 5319375678 7092500904 10638751356 14185001808 21277502712 42555005424