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104142794880 = 2735293185123
BaseRepresentation
bin110000011111101100…
…1001111000010000000
3100221210220001010110010
41200333121033002000
53201241023414010
6115501553304520
710344520102455
oct1407731170200
9327726033403
10104142794880
1140191990223
1218225265140
139a88ba9667
14507d34582c
152a97cb9620
hex183f64f080

104142794880 has 128 divisors (see below), whose sum is σ = 333089910720. Its totient is φ = 27676479488.

The previous prime is 104142794843. The next prime is 104142794887. The reversal of 104142794880 is 88497241401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (104142794887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469999 + ... + 655121.

Almost surely, 2104142794880 is an apocalyptic number.

104142794880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104142794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166544955360).

104142794880 is an abundant number, since it is smaller than the sum of its proper divisors (228947115840).

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

104142794880 is a wasteful number, since it uses less digits than its factorization.

104142794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185438 (or 185426 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 104142794880 in words is "one hundred four billion, one hundred forty-two million, seven hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 293 320 384 480 586 640 879 960 1172 1465 1758 1920 2344 2930 3516 4395 4688 5860 7032 8790 9376 11720 14064 17580 18752 23440 28128 35160 37504 46880 56256 70320 93760 112512 140640 185123 187520 281280 370246 555369 562560 740492 925615 1110738 1480984 1851230 2221476 2776845 2961968 3702460 4442952 5553690 5923936 7404920 8885904 11107380 11847872 14809840 17771808 22214760 23695744 29619680 35543616 44429520 54241039 59239360 71087232 88859040 108482078 118478720 162723117 177718080 216964156 271205195 325446234 355436160 433928312 542410390 650892468 813615585 867856624 1084820780 1301784936 1627231170 1735713248 2169641560 2603569872 3254462340 3471426496 4339283120 5207139744 6508924680 6942852992 8678566240 10414279488 13017849360 17357132480 20828558976 26035698720 34714264960 52071397440 104142794880