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16431368130 = 23352314891777
BaseRepresentation
bin11110100110110001…
…01100011111000010
31120102010111222122000
433103120230133002
5232122412240010
611314245124430
71121120216232
oct172330543702
946363458560
1016431368130
116a72096091
1232269b9716
13171b25b448
14b1c37dcc2
156628037c0
hex3d362c7c2

16431368130 has 128 divisors (see below), whose sum is σ = 45778521600. Its totient is φ = 4186017792.

The previous prime is 16431368101. The next prime is 16431368159. The reversal of 16431368130 is 3186313461.

16431368130 is a `hidden beast` number, since 1 + 643 + 1 + 3 + 6 + 8 + 1 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16431368101) and next prime (16431368159).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9245802 + ... + 9247578.

It is an arithmetic number, because the mean of its divisors is an integer number (357644700).

Almost surely, 216431368130 is an apocalyptic number.

16431368130 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 16431368130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22889260800).

16431368130 is an abundant number, since it is smaller than the sum of its proper divisors (29347153470).

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

16431368130 is a wasteful number, since it uses less digits than its factorization.

16431368130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 16431368130 in words is "sixteen billion, four hundred thirty-one million, three hundred sixty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 1489 1777 2070 2978 3105 3554 4467 5331 6210 7445 8885 8934 10662 13401 14890 15993 17770 22335 26655 26802 31986 34247 40203 40871 44670 47979 53310 67005 68494 79965 80406 81742 95958 102741 122613 134010 159930 171235 201015 204355 205482 239895 245226 308223 342470 367839 402030 408710 479790 513705 613065 616446 735678 924669 1027410 1103517 1226130 1541115 1839195 1849338 2207034 2645953 3082230 3678390 4623345 5291906 5517585 7937859 9246690 11035170 13229765 15875718 23813577 26459530 39689295 47627154 60856919 71440731 79378590 119067885 121713838 142881462 182570757 238135770 304284595 357203655 365141514 547712271 608569190 714407310 912853785 1095424542 1643136813 1825707570 2738561355 3286273626 5477122710 8215684065 16431368130