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42496730520 = 2335677337211
BaseRepresentation
bin100111100101000000…
…001010010110011000
311001200200002120220020
4213211000022112120
51144013130334040
631304524230440
73033052151346
oct474500122630
9131620076806
1042496730520
11170283296a2
1282a009b420
1340134087ba
1420b200a996
15118acb8cd0
hex9e500a598

42496730520 has 128 divisors (see below), whose sum is σ = 129587523840. Its totient is φ = 11146544640.

The previous prime is 42496730503. The next prime is 42496730533. The reversal of 42496730520 is 2503769424.

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, 5889715 + ... + 5896925.

It is an arithmetic number, because the mean of its divisors is an integer number (1012402530).

Almost surely, 242496730520 is an apocalyptic number.

42496730520 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 42496730520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64793761920).

42496730520 is an abundant number, since it is smaller than the sum of its proper divisors (87090793320).

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

42496730520 is a wasteful number, since it uses less digits than its factorization.

42496730520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8025 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 42496730520 in words is "forty-two billion, four hundred ninety-six million, seven hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 733 804 1005 1340 1466 1608 2010 2199 2680 2932 3665 4020 4398 5864 7211 7330 8040 8796 10995 14422 14660 17592 21633 21990 28844 29320 36055 43266 43980 49111 57688 72110 86532 87960 98222 108165 144220 147333 173064 196444 216330 245555 288440 294666 392888 432660 483137 491110 589332 736665 865320 966274 982220 1178664 1449411 1473330 1932548 1964440 2415685 2898822 2946660 3865096 4831370 5285663 5797644 5893320 7247055 9662740 10571326 11595288 14494110 15856989 19325480 21142652 26428315 28988220 31713978 42285304 52856630 57976440 63427956 79284945 105713260 126855912 158569890 211426520 317139780 354139421 634279560 708278842 1062418263 1416557684 1770697105 2124836526 2833115368 3541394210 4249673052 5312091315 7082788420 8499346104 10624182630 14165576840 21248365260 42496730520