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42819137748 = 223231476731213
BaseRepresentation
bin100111111000001110…
…000011000011010100
311002112010202120110200
4213320032003003110
51200143144401443
631400522420500
73044045444202
oct477016030324
9132463676420
1042819137748
1117183317a52
128370061730
1340651505ca
142102b74072
1511a9251dd3
hex9f83830d4

42819137748 has 144 divisors (see below), whose sum is σ = 114369755136. Its totient is φ = 13487523840.

The previous prime is 42819137731. The next prime is 42819137761. The reversal of 42819137748 is 84773191824.

42819137748 is a `hidden beast` number, since 42 + 8 + 191 + 377 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42819137694 and 42819137703.

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, 35299590 + ... + 35300802.

Almost surely, 242819137748 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 42819137748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57184877568).

42819137748 is an abundant number, since it is smaller than the sum of its proper divisors (71550617388).

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

42819137748 is a wasteful number, since it uses less digits than its factorization.

42819137748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1969 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 42819137748 in words is "forty-two billion, eight hundred nineteen million, one hundred thirty-seven thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 62 93 94 124 141 186 188 279 282 372 423 558 564 673 846 1116 1213 1346 1457 1692 2019 2426 2692 2914 3639 4038 4371 4852 5828 6057 7278 8076 8742 10917 12114 13113 14556 17484 20863 21834 24228 26226 31631 37603 41726 43668 52452 57011 62589 63262 75206 83452 94893 112809 114022 125178 126524 150412 171033 187767 189786 225618 228044 250356 284679 338427 342066 375534 379572 451236 513099 569358 676854 684132 751068 816349 980561 1026198 1138716 1353708 1632698 1767341 1961122 2052396 2449047 2941683 3265396 3534682 3922244 4898094 5302023 5883366 7069364 7347141 8825049 9796188 10604046 11766732 14694282 15906069 17650098 21208092 25306819 29388564 31812138 35300196 38368403 50613638 63624276 75920457 76736806 101227276 115105209 151840914 153473612 227761371 230210418 303681828 345315627 455522742 460420836 690631254 911045484 1189420493 1381262508 2378840986 3568261479 4757681972 7136522958 10704784437 14273045916 21409568874 42819137748