Search a number
-
+
19107161472 = 273713995081
BaseRepresentation
bin10001110010111000…
…000010010110000000
31211022121111101001010
4101302320002112000
5303112413131342
612435552440520
71244331123060
oct216270022600
954277441033
1019107161472
118115549243
123852b49140
131a5671ab09
14cd38b13a0
1576c6a629c
hex472e02580

19107161472 has 128 divisors (see below), whose sum is σ = 58056768000. Its totient is φ = 5454213120.

The previous prime is 19107161449. The next prime is 19107161483. The reversal of 19107161472 is 27416170191.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19107161472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3757972 + ... + 3763052.

It is an arithmetic number, because the mean of its divisors is an integer number (453568500).

Almost surely, 219107161472 is an apocalyptic number.

19107161472 is a gapful number since it is divisible by the number (12) 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 19107161472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29028384000).

19107161472 is an abundant number, since it is smaller than the sum of its proper divisors (38949606528).

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

19107161472 is a wasteful number, since it uses less digits than its factorization.

19107161472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504 (or 6492 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The spelling of 19107161472 in words is "nineteen billion, one hundred seven million, one hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 1399 2688 2798 4197 5081 5596 8394 9793 10162 11192 15243 16788 19586 20324 22384 29379 30486 33576 35567 39172 40648 44768 58758 60972 67152 71134 78344 81296 89536 106701 117516 121944 134304 142268 156688 162592 179072 213402 235032 243888 268608 284536 313376 325184 426804 470064 487776 537216 569072 626752 650368 853608 940128 975552 1138144 1253504 1707216 1880256 1951104 2276288 3414432 3760512 4552576 6828864 7108319 13657728 14216638 21324957 28433276 42649914 49758233 56866552 85299828 99516466 113733104 149274699 170599656 199032932 227466208 298549398 341199312 398065864 454932416 597098796 682398624 796131728 909864832 1194197592 1364797248 1592263456 2388395184 2729594496 3184526912 4776790368 6369053824 9553580736 19107161472