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1041749039196 = 223331421739087
BaseRepresentation
bin11110010100011010001…
…01001101100001011100
310200120221021121100201000
433022031011031201130
5114032000223223241
62114323425150300
7135156340505325
oct17121505154134
93616837540630
101041749039196
113718921a0a78
12149a9378b390
137730c807628
14385c702344c
151c171a8beb6
hexf28d14d85c

1041749039196 has 96 divisors (see below), whose sum is σ = 2794580418560. Its totient is φ = 335249409600.

The previous prime is 1041749039173. The next prime is 1041749039207. The reversal of 1041749039196 is 6919309471401.

1041749039196 is a `hidden beast` number, since 1 + 0 + 417 + 4 + 9 + 0 + 39 + 196 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039965 + ... + 1779051.

Almost surely, 21041749039196 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 1041749039196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397290209280).

1041749039196 is an abundant number, since it is smaller than the sum of its proper divisors (1752831379364).

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

1041749039196 is a wasteful number, since it uses less digits than its factorization.

1041749039196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739552 (or 739544 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1041749039196 in words is "one trillion, forty-one billion, seven hundred forty-nine million, thirty-nine thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 421 558 837 842 1116 1263 1674 1684 2526 3348 3789 5052 7578 11367 13051 15156 22734 26102 39153 45468 52204 78306 117459 156612 234918 352377 469836 704754 739087 1409508 1478174 2217261 2956348 4434522 6651783 8869044 13303566 19955349 22911697 26607132 39910698 45823394 68735091 79821396 91646788 137470182 206205273 274940364 311155627 412410546 618615819 622311254 824821092 933466881 1237231638 1244622508 1866933762 2474463276 2800400643 3733867524 5600801286 8401201929 9645824437 11201602572 16802403858 19291648874 28937473311 33604807716 38583297748 57874946622 86812419933 115749893244 173624839866 260437259799 347249679732 520874519598 1041749039196