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104444071676 = 22719371492239
BaseRepresentation
bin110000101000101011…
…0100000111011111100
3100222120212221120111222
41201101112200323330
53202400140243201
6115551514532512
710355135650460
oct1412126407374
9328525846458
10104444071676
1140326a56a0a
12182aa137138
139b06433659
1450ab36c4a0
152ab447b91b
hex18515a0efc

104444071676 has 144 divisors (see below), whose sum is σ = 228302054400. Its totient is φ = 40811371776.

The previous prime is 104444071663. The next prime is 104444071681. The reversal of 104444071676 is 676170444401.

It is a happy number.

It is a super-2 number, since 2×1044440716762 (a number of 23 digits) contains 22 as substring.

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, 437004365 + ... + 437004603.

Almost surely, 2104444071676 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 104444071676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114151027200).

104444071676 is an abundant number, since it is smaller than the sum of its proper divisors (123857982724).

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

104444071676 is a wasteful number, since it uses less digits than its factorization.

104444071676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The spelling of 104444071676 in words is "one hundred four billion, four hundred forty-four million, seventy-one thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 19 28 37 38 74 76 133 148 149 239 259 266 298 478 518 532 596 703 956 1036 1043 1406 1673 2086 2812 2831 3346 4172 4541 4921 5513 5662 6692 8843 9082 9842 11026 11324 17686 18164 19684 19817 22052 22201 31787 35372 35611 38591 39634 44402 61901 63574 71222 77182 79268 88804 104747 123802 127148 142444 154364 155407 168017 209494 247604 249277 310814 336034 418988 421819 498554 621628 672068 676609 733229 821437 843638 997108 1176119 1317607 1353218 1466458 1642874 1687276 2352238 2635214 2706436 2932916 2952733 3285748 4704476 4736263 5270428 5306039 5750059 5905466 9223249 9472526 10612078 11500118 11810932 15607303 18446498 18945052 21224156 23000236 25034533 31214606 36892996 37142273 50069066 62429212 74284546 100138132 100814741 109251121 148569092 175241731 196323443 201629482 218502242 350483462 392646886 403258964 437004484 700966924 705703187 785293772 1374264101 1411406374 2748528202 2822812748 3730145417 5497056404 7460290834 14920581668 26111017919 52222035838 104444071676