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106473906480 = 24354311391303
BaseRepresentation
bin110001100101001010…
…1101110000100110000
3101011211100102212101210
41203022111232010300
53221024310001410
6120525145200120
710456344162264
oct1431225560460
9334740385353
10106473906480
1141178820937
1218775a90040
13a06ab25736
145220b920a4
152b82784220
hex18ca56e130

106473906480 has 160 divisors (see below), whose sum is σ = 340737762816. Its totient is φ = 27487014912.

The previous prime is 106473906449. The next prime is 106473906481. The reversal of 106473906480 is 84609374601.

It is a super-3 number, since 3×1064739064803 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (106473906481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1120509 + ... + 1211811.

Almost surely, 2106473906480 is an apocalyptic number.

106473906480 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 106473906480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170368881408).

106473906480 is an abundant number, since it is smaller than the sum of its proper divisors (234263856336).

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

106473906480 is a wasteful number, since it uses less digits than its factorization.

106473906480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91475 (or 91469 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 106473906480 in words is "one hundred six billion, four hundred seventy-three million, nine hundred six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 113 120 129 172 215 226 240 258 339 344 430 452 516 565 645 678 688 860 904 1032 1130 1290 1356 1695 1720 1808 2064 2260 2580 2712 3390 3440 4520 4859 5160 5424 6780 9040 9718 10320 13560 14577 19436 24295 27120 29154 38872 48590 58308 72885 77744 91303 97180 116616 145770 182606 194360 233232 273909 291540 365212 388720 456515 547818 583080 730424 913030 1095636 1166160 1369545 1460848 1826060 2191272 2739090 3652120 3926029 4382544 5478180 7304240 7852058 10317239 10956360 11778087 15704116 19630145 20634478 21912720 23556174 30951717 31408232 39260290 41268956 47112348 51586195 58890435 61903434 62816464 78520580 82537912 94224696 103172390 117780870 123806868 154758585 157041160 165075824 188449392 206344780 235561740 247613736 309517170 314082320 412689560 443641277 471123480 495227472 619034340 825379120 887282554 942246960 1238068680 1330923831 1774565108 2218206385 2476137360 2661847662 3549130216 4436412770 5323695324 6654619155 7098260432 8872825540 10647390648 13309238310 17745651080 21294781296 26618476620 35491302160 53236953240 106473906480