Search a number
-
+
16756150040 = 2357379291741
BaseRepresentation
bin11111001101011111…
…01000111100011000
31121020202122121122122
433212233220330120
5233304033300130
611410410240412
71132142632250
oct174657507430
947222577578
1016756150040
117119456593
1232b7726108
1317706250a6
14b4d564960
156810aa2e5
hex3e6be8f18

16756150040 has 128 divisors (see below), whose sum is σ = 44324841600. Its totient is φ = 5580472320.

The previous prime is 16756150013. The next prime is 16756150043. The reversal of 16756150040 is 4005165761.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16756150043) 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, 9623570 + ... + 9625310.

It is an arithmetic number, because the mean of its divisors is an integer number (346287825).

Almost surely, 216756150040 is an apocalyptic number.

16756150040 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 16756150040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22162420800).

16756150040 is an abundant number, since it is smaller than the sum of its proper divisors (27568691560).

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

16756150040 is a wasteful number, since it uses less digits than its factorization.

16756150040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 16756150040 in words is "sixteen billion, seven hundred fifty-six million, one hundred fifty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 929 1036 1295 1480 1741 1858 2072 2590 3482 3716 4645 5180 6503 6964 7432 8705 9290 10360 12187 13006 13928 17410 18580 24374 26012 32515 34373 34820 37160 48748 52024 60935 64417 65030 68746 69640 97496 121870 128834 130060 137492 171865 240611 243740 257668 260120 274984 322085 343730 450919 481222 487480 515336 644170 687460 901838 962444 1203055 1288340 1374920 1617389 1803676 1924888 2254595 2406110 2576680 3234778 3607352 4509190 4812220 6469556 8086945 9018380 9624440 11321723 12939112 16173890 18036760 22643446 32347780 45286892 56608615 59843393 64695560 90573784 113217230 119686786 226434460 239373572 299216965 418903751 452868920 478747144 598433930 837807502 1196867860 1675615004 2094518755 2393735720 3351230008 4189037510 8378075020 16756150040