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42146500062420 = 223251318011324813
BaseRepresentation
bin10011001010100111111110…
…01010100010110011010100
312112020011111001111010101100
421211103333022202303110
521011012013003444140
6225345500154030100
711606661363403305
oct1145237712426324
9175204431433340
1042146500062420
111247a25958a106
124888335718330
131a695232641b0
14a59c899767ac
154d14d93d0530
hex2654ff2a2cd4

42146500062420 has 72 divisors (see below), whose sum is σ = 137678566878216. Its totient is φ = 10374523091712.

The previous prime is 42146500062413. The next prime is 42146500062439. The reversal of 42146500062420 is 2426000564124.

42146500062420 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 6 + 5 + 0 + 0 + 0 + 624 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2276519686596 + 39869980375824 = 1508814^2 + 6314268^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9005660067 + ... + 9005664746.

It is an arithmetic number, because the mean of its divisors is an integer number (1912202317753).

Almost surely, 242146500062420 is an apocalyptic number.

It is an amenable number.

42146500062420 is an abundant number, since it is smaller than the sum of its proper divisors (95532066815796).

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

42146500062420 is a wasteful number, since it uses less digits than its factorization.

42146500062420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18011324841 (or 18011324836 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 42146500062420 in words is "forty-two trillion, one hundred forty-six billion, five hundred million, sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 18011324813 36022649626 54033974439 72045299252 90056624065 108067948878 162101923317 180113248130 216135897756 234147222569 270169872195 324203846634 360226496260 468294445138 540339744390 648407693268 702441667707 810509616585 936588890276 1080679488780 1170736112845 1404883335414 1621019233170 2107325003121 2341472225690 2809766670828 3242038466340 3512208338535 4214650006242 4682944451380 7024416677070 8429300012484 10536625015605 14048833354140 21073250031210 42146500062420