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42499471716 = 22341328812
BaseRepresentation
bin100111100101001010…
…100111100101100100
311001200212020212010000
4213211022213211210
51144014331043331
631305103101300
73033114356232
oct474512474544
9131625225100
1042499471716
1117029931149
1282a0ba1830
134013b58400
1420b2521952
15118b15b0e6
hex9e52a7964

42499471716 has 135 divisors (see below), whose sum is σ = 120442442043. Its totient is φ = 13061917440.

The previous prime is 42499471699. The next prime is 42499471741. The reversal of 42499471716 is 61717499424.

The square root of 42499471716 is 206154.

It is a perfect power (a square), and thus also a powerful number.

42499471716 is a `hidden beast` number, since 42 + 499 + 47 + 1 + 71 + 6 = 666.

42499471716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19485368100 + 23014103616 = 139590^2 + 151704^2 .

It is a super-2 number, since 2×424994717162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48239596 + ... + 48240476.

Almost surely, 242499471716 is an apocalyptic number.

42499471716 is the 206154-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42499471716

42499471716 is an abundant number, since it is smaller than the sum of its proper divisors (77942970327).

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

42499471716 is an equidigital number, since it uses as much as digits as its factorization.

42499471716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 899 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 42499471716 in words is "forty-two billion, four hundred ninety-nine million, four hundred seventy-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 881 1014 1053 1404 1521 1762 2028 2106 2643 3042 3524 4212 4563 5286 6084 7929 9126 10572 11453 13689 15858 18252 22906 23787 27378 31716 34359 45812 47574 54756 68718 71361 95148 103077 137436 142722 148889 206154 285444 297778 309231 412308 446667 595556 618462 776161 893334 927693 1236924 1340001 1552322 1786668 1855386 2328483 2680002 3104644 3710772 4020003 4656966 5360004 6985449 8040006 9313932 10090093 12060009 13970898 16080012 20180186 20956347 24120018 27941796 30270279 40360372 41912694 48240036 60540558 62869041 83825388 90810837 121081116 125738082 131171209 181621674 251476164 262342418 272432511 363243348 393513627 524684836 544865022 787027254 817297533 1089730044 1180540881 1574054508 1634595066 2361081762 3269190132 3541622643 4722163524 7083245286 10624867929 14166490572 21249735858 42499471716