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42737174460 = 223252324414229
BaseRepresentation
bin100111110011010101…
…011000011110111100
311002022102112101222100
4213303111120132330
51200011204040320
631344433545100
73042031663161
oct476325303674
9132272471870
1042737174460
11171410257a2
128348715190
134051183716
1420d5d1a068
1511a1e61790
hex9f35587bc

42737174460 has 144 divisors (see below), whose sum is σ = 135359864640. Its totient is φ = 10894033920.

The previous prime is 42737174413. The next prime is 42737174471. The reversal of 42737174460 is 6447173724.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10103626 + ... + 10107854.

It is an arithmetic number, because the mean of its divisors is an integer number (939999060).

Almost surely, 242737174460 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 42737174460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67679932320).

42737174460 is an abundant number, since it is smaller than the sum of its proper divisors (92622690180).

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

42737174460 is a wasteful number, since it uses less digits than its factorization.

42737174460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 42737174460 in words is "forty-two billion, seven hundred thirty-seven million, one hundred seventy-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 2441 4140 4229 4882 7323 8458 9764 12205 12687 14646 16916 21145 21969 24410 25374 29292 36615 38061 42290 43938 48820 50748 56143 63435 73230 76122 84580 87876 97267 109845 112286 126870 146460 152244 168429 190305 194534 219690 224572 253740 280715 291801 336858 380610 389068 439380 486335 505287 561430 583602 673716 761220 842145 875403 972670 1010574 1122860 1167204 1459005 1684290 1750806 1945340 2021148 2526435 2918010 3368580 3501612 4377015 5052870 5836020 8754030 10105740 10322989 17508060 20645978 30968967 41291956 51614945 61937934 92906901 103229890 123875868 154844835 185813802 206459780 237428747 309689670 371627604 464534505 474857494 619379340 712286241 929069010 949714988 1187143735 1424572482 1858138020 2136858723 2374287470 2849144964 3561431205 4273717446 4748574940 7122862410 8547434892 10684293615 14245724820 21368587230 42737174460