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4006012212 = 223219231491709
BaseRepresentation
bin1110111011000110…
…1110010100110100
3101100012000111122200
43232301232110310
531201014342322
61501302424500
7201162353616
oct35661562464
911305014580
104006012212
1117763202a4
12939732130
134bac48137
142a007adb6
15186a618ac
hexeec6e534

4006012212 has 144 divisors (see below), whose sum is σ = 11203920000. Its totient is φ = 1201229568.

The previous prime is 4006012183. The next prime is 4006012253. The reversal of 4006012212 is 2122106004.

4006012212 is a `hidden beast` number, since 40 + 0 + 601 + 2 + 21 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2343214 + ... + 2344922.

It is an arithmetic number, because the mean of its divisors is an integer number (77805000).

Almost surely, 24006012212 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 4006012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960000).

4006012212 is an abundant number, since it is smaller than the sum of its proper divisors (7197907788).

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

4006012212 is a wasteful number, since it uses less digits than its factorization.

4006012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4006012212 is about 63293.0660657232. The cubic root of 4006012212 is about 1588.1959698044.

Adding to 4006012212 its reverse (2122106004), we get a palindrome (6128118216).

The spelling of 4006012212 in words is "four billion, six million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 149 171 207 228 276 298 342 414 437 447 596 684 828 874 894 1311 1341 1709 1748 1788 2622 2682 2831 3418 3427 3933 5127 5244 5364 5662 6836 6854 7866 8493 10254 10281 11324 13708 15381 15732 16986 20508 20562 25479 30762 30843 32471 33972 39307 41124 50958 61524 61686 64942 65113 78614 97413 101916 117921 123372 129884 130226 157228 194826 195339 235842 254641 260452 292239 353763 389652 390678 471684 509282 584478 586017 707526 746833 763923 781356 1018564 1168956 1172034 1415052 1493666 1527846 2240499 2291769 2344068 2987332 3055692 4480998 4583538 4838179 5856743 6721497 8961996 9167076 9676358 11713486 13442994 14514537 17570229 19352716 23426972 26885988 29029074 35140458 43543611 52710687 58058148 70280916 87087222 105421374 111278117 174174444 210842748 222556234 333834351 445112468 667668702 1001503053 1335337404 2003006106 4006012212