Search a number
-
+
16918609920 = 2153534421
BaseRepresentation
bin11111100000110110…
…11000000000000000
31121200002100102201020
433300123120000000
5234122131004140
611434452305440
71136154545232
oct176033300000
947602312636
1016918609920
1171a2129053
123342012280
1317981973b4
14b66d74252
1569049b6d0
hex3f06d8000

16918609920 has 128 divisors (see below), whose sum is σ = 54140298480. Its totient is φ = 4511498240.

The previous prime is 16918609913. The next prime is 16918609931. The reversal of 16918609920 is 2990681961.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474310 + ... + 508730.

Almost surely, 216918609920 is an apocalyptic number.

16918609920 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 16918609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27070149240).

16918609920 is an abundant number, since it is smaller than the sum of its proper divisors (37221688560).

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

16918609920 is an frugal number, since it uses more digits than its factorization.

16918609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34459 (or 34431 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The spelling of 16918609920 in words is "sixteen billion, nine hundred eighteen million, six hundred nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 24576 30720 32768 34421 40960 49152 61440 68842 81920 98304 103263 122880 137684 163840 172105 206526 245760 275368 344210 413052 491520 516315 550736 688420 826104 1032630 1101472 1376840 1652208 2065260 2202944 2753680 3304416 4130520 4405888 5507360 6608832 8261040 8811776 11014720 13217664 16522080 17623552 22029440 26435328 33044160 35247104 44058880 52870656 66088320 70494208 88117760 105741312 132176640 140988416 176235520 211482624 264353280 281976832 352471040 422965248 528706560 563953664 704942080 845930496 1057413120 1127907328 1409884160 1691860992 2114826240 2819768320 3383721984 4229652480 5639536640 8459304960 16918609920