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42169900256 = 2511178979181
BaseRepresentation
bin100111010001100001…
…011001110011100000
311000211220002220001122
4213101201121303200
51142330443302011
631212251151412
73022003144421
oct472141316340
9130756086048
1042169900256
111697a89a240
12820a745568
133c907a5703
142080851648
15116c25a3db
hex9d1859ce0

42169900256 has 96 divisors (see below), whose sum is σ = 96975779040. Its totient is φ = 17837670400.

The previous prime is 42169900231. The next prime is 42169900259. The reversal of 42169900256 is 65200996124.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42169900259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492986 + ... + 572166.

It is an arithmetic number, because the mean of its divisors is an integer number (1010164365).

Almost surely, 242169900256 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 42169900256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48487889520).

42169900256 is an abundant number, since it is smaller than the sum of its proper divisors (54805878784).

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

42169900256 is a wasteful number, since it uses less digits than its factorization.

42169900256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79308 (or 79300 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 42169900256 in words is "forty-two billion, one hundred sixty-nine million, nine hundred thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 89 136 176 178 187 272 352 356 374 544 712 748 979 1424 1496 1513 1958 2848 2992 3026 3916 5984 6052 7832 12104 15664 16643 24208 31328 33286 48416 66572 79181 133144 158362 266288 316724 532576 633448 870991 1266896 1346077 1741982 2533792 2692154 3483964 5384308 6967928 7047109 10768616 13935856 14094218 14806847 21537232 27871712 28188436 29613694 43074464 56376872 59227388 77518199 112753744 118454776 119800853 155036398 225507488 236909552 239601706 310072796 473819104 479203412 620145592 958406824 1240291184 1317809383 1916813648 2480582368 2635618766 3833627296 5271237532 10542475064 21084950128 42169900256