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100196506480 = 24576127710589
BaseRepresentation
bin101110101010000101…
…1010101101101110000
3100120121212101220110111
41131110023111231300
53120200301201410
6114010222511104
710144651152460
oct1352413255560
9316555356414
10100196506480
1139547352354
1217503735494
1395aa442875
144bc71b3ba0
152916603b8a
hex17542d5b70

100196506480 has 160 divisors (see below), whose sum is σ = 271603509120. Its totient is φ = 33664757760.

The previous prime is 100196506453. The next prime is 100196506489. The reversal of 100196506480 is 84605691001.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100196506489) by changing a digit.

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, 9457026 + ... + 9467614.

It is an arithmetic number, because the mean of its divisors is an integer number (1697521932).

Almost surely, 2100196506480 is an apocalyptic number.

100196506480 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 100196506480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135801754560).

100196506480 is an abundant number, since it is smaller than the sum of its proper divisors (171407002640).

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

100196506480 is a wasteful number, since it uses less digits than its factorization.

100196506480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10947 (or 10941 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 100196506480 in words is "one hundred billion, one hundred ninety-six million, five hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 277 280 305 427 488 554 560 610 854 976 1108 1220 1385 1708 1939 2135 2216 2440 2770 3416 3878 4270 4432 4880 5540 6832 7756 8540 9695 10589 11080 15512 16897 17080 19390 21178 22160 31024 33794 34160 38780 42356 52945 67588 74123 77560 84485 84712 105890 118279 135176 148246 155120 168970 169424 211780 236558 270352 296492 337940 370615 423560 473116 591395 592984 645929 675880 741230 847120 946232 1182790 1185968 1291858 1351760 1482460 1892464 2365580 2583716 2933153 2964920 3229645 4521503 4731160 5167432 5866306 5929840 6459290 9043006 9462320 10334864 11732612 12918580 14665765 18086012 20532071 22607515 23465224 25837160 29331530 36172024 41064142 45215030 46930448 51674320 58663060 72344048 82128284 90430060 102660355 117326120 164256568 178922333 180860120 205320710 234652240 328513136 357844666 361720240 410641420 715689332 821282840 894611665 1252456331 1431378664 1642565680 1789223330 2504912662 2862757328 3578446660 5009825324 6262281655 7156893320 10019650648 12524563310 14313786640 20039301296 25049126620 50098253240 100196506480