Search a number
-
+
42488836992 = 273275268953
BaseRepresentation
bin100111100100100010…
…000011001110000000
311001200010020120000100
4213210202003032000
51144004120240432
631304043122400
73032625104220
oct474442031600
9131603216010
1042488836992
1117023928118
128299513400
1340118a3984
1420b0d54080
15118a25a07c
hex9e4883380

42488836992 has 96 divisors (see below), whose sum is σ = 139732660080. Its totient is φ = 12139665408.

The previous prime is 42488836987. The next prime is 42488836993. The reversal of 42488836992 is 29963888424.

42488836992 is a `hidden beast` number, since 4 + 2 + 488 + 8 + 3 + 69 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42488836993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2626413 + ... + 2642540.

Almost surely, 242488836992 is an apocalyptic number.

42488836992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42488836992 is an abundant number, since it is smaller than the sum of its proper divisors (97243823088).

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

42488836992 is a wasteful number, since it uses less digits than its factorization.

42488836992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268980 (or 5268965 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 42488836992 in words is "forty-two billion, four hundred eighty-eight million, eight hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 5268953 10537906 15806859 21075812 31613718 36882671 42151624 47420577 63227436 73765342 84303248 94841154 110648013 126454872 147530684 168606496 189682308 221296026 252909744 295061368 331944039 337212992 379364616 442592052 505819488 590122736 663888078 674425984 758729232 885184104 1011638976 1180245472 1327776156 1517458464 1770368208 2023277952 2360490944 2655552312 3034916928 3540736416 4720981888 5311104624 6069833856 7081472832 10622209248 14162945664 21244418496 42488836992