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49122211212 = 22341727132909
BaseRepresentation
bin101101101111111010…
…010111010110001100
311200210102002212210000
4231233322113112030
51301100241224322
634322203244300
73356202622524
oct555772272614
9150712085700
1049122211212
1119918231378
12962ab19690
13482ac52089
14253dd16684
1514277a43ac
hexb6fe9758c

49122211212 has 120 divisors (see below), whose sum is σ = 136474873920. Its totient is φ = 15353556480.

The previous prime is 49122211189. The next prime is 49122211213. The reversal of 49122211212 is 21211222194.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (49122211213) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1476214 + ... + 1509122.

It is an arithmetic number, because the mean of its divisors is an integer number (1137290616).

Almost surely, 249122211212 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 49122211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68237436960).

49122211212 is an abundant number, since it is smaller than the sum of its proper divisors (87352662708).

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

49122211212 is a wasteful number, since it uses less digits than its factorization.

49122211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33213 (or 33202 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The spelling of 49122211212 in words is "forty-nine billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 271 306 324 459 542 612 813 918 1084 1377 1626 1836 2439 2754 3252 4607 4878 5508 7317 9214 9756 13821 14634 18428 21951 27642 29268 32909 41463 43902 55284 65818 82926 87804 98727 124389 131636 165852 197454 248778 296181 373167 394908 497556 559453 592362 746334 888543 1118906 1184724 1492668 1678359 1777086 2237812 2665629 3356718 3554172 5035077 5331258 6713436 8918339 10070154 10662516 15105231 17836678 20140308 26755017 30210462 35673356 45315693 53510034 60420924 80265051 90631386 107020068 151611763 160530102 181262772 240795153 303223526 321060204 454835289 481590306 606447052 722385459 909670578 963180612 1364505867 1444770918 1819341156 2729011734 2889541836 4093517601 5458023468 8187035202 12280552803 16374070404 24561105606 49122211212