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10216432674 = 23274376389
BaseRepresentation
bin10011000001111001…
…00110010000100010
3222101000000112221100
421200330212100202
5131410401321144
64405433335230
7511113150000
oct114074462042
928330015840
1010216432674
114372a01098
121b91567516
13c6a7a9246
146ccbc1a70
153ebdb1269
hex260f26422

10216432674 has 120 divisors (see below), whose sum is σ = 26525413980. Its totient is φ = 2839644864.

The previous prime is 10216432661. The next prime is 10216432679. The reversal of 10216432674 is 47623461201.

10216432674 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 643 + 2 + 6 + 7 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10021411449 + 195021225 = 100107^2 + 13965^2 .

It is not an unprimeable number, because it can be changed into a prime (10216432679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1595872 + ... + 1602260.

Almost surely, 210216432674 is an apocalyptic number.

10216432674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10216432674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262706990).

10216432674 is an abundant number, since it is smaller than the sum of its proper divisors (16308981306).

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

10216432674 is an equidigital number, since it uses as much as digits as its factorization.

10216432674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6462 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 10216432674 its reverse (47623461201), we get a palindrome (57839893875).

The spelling of 10216432674 in words is "ten billion, two hundred sixteen million, four hundred thirty-two thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 343 441 518 666 686 777 882 1029 1554 1813 2058 2331 2401 3087 3626 4662 4802 5439 6174 6389 7203 10878 12691 12778 14406 16317 19167 21609 25382 32634 38073 38334 43218 44723 57501 76146 88837 89446 114219 115002 134169 177674 228438 236393 266511 268338 313061 402507 472786 533022 626122 709179 799533 805014 939183 1418358 1599066 1654751 1878366 2127537 2191427 2817549 3309502 4255074 4382854 4964253 5635098 6574281 9928506 11583257 13148562 14892759 15339989 19722843 23166514 29785518 30679978 34749771 39445686 46019967 69499542 81082799 92039934 104249313 138059901 162165598 208498626 243248397 276119802 486496794 567579593 729745191 1135159186 1459490382 1702738779 3405477558 5108216337 10216432674