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42247822960 = 2457718911939
BaseRepresentation
bin100111010110001010…
…101001111001110000
311001001022201202220201
4213112022221321300
51143010420313320
631224113244544
73023640366340
oct472612517160
9131038652821
1042247822960
1116a0a881772
128230863754
133ca3989415
14208ad36d20
151173eed70a
hex9d62a9e70

42247822960 has 160 divisors (see below), whose sum is σ = 115128345600. Its totient is φ = 14119311360.

The previous prime is 42247822943. The next prime is 42247822979. The reversal of 42247822960 is 6922874224.

42247822960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42247822960.

It is a congruent number.

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, 3532671 + ... + 3544609.

It is an arithmetic number, because the mean of its divisors is an integer number (719552160).

Almost surely, 242247822960 is an apocalyptic number.

42247822960 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 42247822960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57564172800).

42247822960 is an abundant number, since it is smaller than the sum of its proper divisors (72880522640).

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

42247822960 is a wasteful number, since it uses less digits than its factorization.

42247822960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12119 (or 12113 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 42247822960 in words is "forty-two billion, two hundred forty-seven million, eight hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 71 80 89 112 140 142 178 280 284 355 356 445 497 560 568 623 710 712 890 994 1136 1246 1420 1424 1780 1988 2485 2492 2840 3115 3560 3976 4970 4984 5680 6230 6319 7120 7952 9940 9968 11939 12460 12638 19880 23878 24920 25276 31595 39760 44233 47756 49840 50552 59695 63190 83573 88466 95512 101104 119390 126380 167146 176932 191024 221165 238780 252760 334292 353864 417865 442330 477560 505520 668584 707728 835730 847669 884660 955120 1062571 1337168 1671460 1695338 1769320 2125142 3342920 3390676 3538640 4238345 4250284 5312855 5933683 6685840 6781352 7437997 8476690 8500568 10625710 11867366 13562704 14875994 16953380 17001136 21251420 23734732 29668415 29751988 33906760 37189985 42502840 47469464 59336830 59503976 67813520 74379970 75442541 85005680 94938928 118673660 119007952 148759940 150885082 237347320 297519880 301770164 377212705 474694640 528097787 595039760 603540328 754425410 1056195574 1207080656 1508850820 2112391148 2640488935 3017701640 4224782296 5280977870 6035403280 8449564592 10561955740 21123911480 42247822960