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106732468470 = 23537463207679
BaseRepresentation
bin110001101100111000…
…0000011100011110110
3101012111100222011202210
41203121300003203312
53222042002442340
6121010543114250
710465634004315
oct1433160034366
9335440864683
10106732468470
11412a0772331
12188285a2986
13a0ac5752b4
14524725a27c
152b9a30a180
hex18d9c038f6

106732468470 has 64 divisors (see below), whose sum is σ = 263650590720. Its totient is φ = 27632803968.

The previous prime is 106732468459. The next prime is 106732468471. The reversal of 106732468470 is 74864237601.

It is a happy number.

It is a super-2 number, since 2×1067324684702 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106732468471) 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, 410091 + ... + 617769.

It is an arithmetic number, because the mean of its divisors is an integer number (4119540480).

Almost surely, 2106732468470 is an apocalyptic number.

106732468470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106732468470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131825295360).

106732468470 is an abundant number, since it is smaller than the sum of its proper divisors (156918122250).

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

106732468470 is a wasteful number, since it uses less digits than its factorization.

106732468470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208189.

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 106732468470 in words is "one hundred six billion, seven hundred thirty-two million, four hundred sixty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 463 555 926 1110 1389 2315 2778 4630 6945 13890 17131 34262 51393 85655 102786 171310 207679 256965 415358 513930 623037 1038395 1246074 2076790 3115185 6230370 7684123 15368246 23052369 38420615 46104738 76841230 96155377 115261845 192310754 230523690 288466131 480776885 576932262 961553770 1442330655 2884661310 3557748949 7115497898 10673246847 17788744745 21346493694 35577489490 53366234235 106732468470