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2107978181244 = 2233132332934693
BaseRepresentation
bin11110101011001101010…
…010100110101001111100
321110112001121211210102000
4132223031102212221330
5234014114403244434
64252220344102300
7305203443621135
oct36531522465174
97415047753360
102107978181244
11742a96801601
122a0659764990
13123a20c17a00
1474053338c8c
1539c77852b99
hex1eacd4a6a7c

2107978181244 has 144 divisors (see below), whose sum is σ = 5919809464800. Its totient is φ = 648395145216.

The previous prime is 2107978181209. The next prime is 2107978181251. The reversal of 2107978181244 is 4421818797012.

2107978181244 is a `hidden beast` number, since 210 + 7 + 9 + 7 + 8 + 181 + 244 = 666.

It is a super-2 number, since 2×21079781812442 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60743562 + ... + 60778254.

It is an arithmetic number, because the mean of its divisors is an integer number (41109787950).

Almost surely, 22107978181244 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 2107978181244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959904732400).

2107978181244 is an abundant number, since it is smaller than the sum of its proper divisors (3811831283556).

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

2107978181244 is a wasteful number, since it uses less digits than its factorization.

2107978181244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38061 (or 38040 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 2107978181244 in words is "two trillion, one hundred seven billion, nine hundred seventy-eight million, one hundred eighty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 3042 3329 4563 6084 6658 9126 9987 13316 18252 19974 29961 34693 39948 43277 59922 69386 86554 89883 104079 119844 129831 138772 173108 179766 208158 259662 312237 359532 389493 416316 451009 519324 562601 624474 778986 902018 936711 1125202 1168479 1248948 1353027 1557972 1687803 1804036 1873422 2250404 2336958 2706054 3375606 3746844 4059081 4673916 5063409 5412108 5863117 6751212 8118162 10126818 11726234 12177243 15190227 16236324 17589351 20253636 23452468 24354486 30380454 35178702 48708972 52768053 60760908 70357404 105536106 115492997 158304159 211072212 230985994 316608318 346478991 461971988 633216636 692957982 1039436973 1385915964 1501408961 2078873946 3002817922 3118310919 4157747892 4504226883 6005635844 6236621838 9008453766 12473243676 13512680649 18016907532 19518316493 27025361298 39036632986 40538041947 54050722596 58554949479 78073265972 81076083894 117109898958 162152167788 175664848437 234219797916 351329696874 526994545311 702659393748 1053989090622 2107978181244