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42089383296 = 27349741851
BaseRepresentation
bin100111001100101110…
…010000010110000000
311000122021121012120000
4213030232100112000
51142144340231141
631200253320000
73020004566202
oct471456202600
9130567535500
1042089383296
11169393a56a4
1281a7796000
133c79bc3c3c
142073c92772
1511651535b6
hex9ccb90580

42089383296 has 160 divisors (see below), whose sum is σ = 126551659080. Its totient is φ = 13884825600.

The previous prime is 42089383289. The next prime is 42089383307. The reversal of 42089383296 is 69238398024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 984771 + ... + 1026621.

Almost surely, 242089383296 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 42089383296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63275829540).

42089383296 is an abundant number, since it is smaller than the sum of its proper divisors (84462275784).

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

42089383296 is an equidigital number, since it uses as much as digits as its factorization.

42089383296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41974 (or 41953 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 42089383296 in words is "forty-two billion, eighty-nine million, three hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 128 144 162 192 194 216 288 291 324 384 388 432 576 582 648 776 864 873 1152 1164 1296 1552 1728 1746 2328 2592 2619 3104 3456 3492 4656 5184 5238 6208 6984 7857 9312 10368 10476 12416 13968 15714 18624 20952 27936 31428 37248 41851 41904 55872 62856 83702 83808 111744 125553 125712 167404 167616 251106 251424 334808 335232 376659 502212 502848 669616 753318 1004424 1005696 1129977 1339232 1506636 2008848 2259954 2678464 3013272 3389931 4017696 4059547 4519908 5356928 6026544 6779862 8035392 8119094 9039816 12053088 12178641 13559724 16070784 16238188 18079632 24106176 24357282 27119448 32476376 36159264 36535923 48212352 48714564 54238896 64952752 72318528 73071846 97429128 108477792 109607769 129905504 144637056 146143692 194858256 216955584 219215538 259811008 292287384 328823307 389716512 433911168 438431076 519622016 584574768 657646614 779433024 876862152 1169149536 1315293228 1558866048 1753724304 2338299072 2630586456 3507448608 4676598144 5261172912 7014897216 10522345824 14029794432 21044691648 42089383296