Search a number
-
+
6923897616 = 2431931376619
BaseRepresentation
bin1100111001011001…
…00100101100010000
3122212112112102221110
412130230210230100
5103140004210431
63103015053320
7333403105266
oct63454445420
918775472843
106923897616
112a333a5839
121412971240
1386460b94c
144997ca436
152a7cd5346
hex19cb24b10

6923897616 has 160 divisors (see below), whose sum is σ = 19963801600. Its totient is φ = 2058462720.

The previous prime is 6923897593. The next prime is 6923897689. The reversal of 6923897616 is 6167983296.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042755 + ... + 1049373.

It is an arithmetic number, because the mean of its divisors is an integer number (124773760).

Almost surely, 26923897616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6923897616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9981900800).

6923897616 is an abundant number, since it is smaller than the sum of its proper divisors (13039903984).

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

6923897616 is a wasteful number, since it uses less digits than its factorization.

6923897616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6717 (or 6711 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 57.

The square root of 6923897616 is about 83209.9610383276. The cubic root of 6923897616 is about 1905.9735923498.

The spelling of 6923897616 in words is "six billion, nine hundred twenty-three million, eight hundred ninety-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 37 38 48 57 62 74 76 93 111 114 124 148 152 186 222 228 248 296 304 372 444 456 496 589 592 703 744 888 912 1147 1178 1406 1488 1767 1776 2109 2294 2356 2812 3441 3534 4218 4588 4712 5624 6619 6882 7068 8436 9176 9424 11248 13238 13764 14136 16872 18352 19857 21793 26476 27528 28272 33744 39714 43586 52952 55056 65379 79428 87172 105904 125761 130758 158856 174344 205189 244903 251522 261516 317712 348688 377283 410378 489806 503044 523032 615567 734709 754566 820756 979612 1006088 1046064 1231134 1469418 1509132 1641512 1959224 2012176 2462268 2938836 3018264 3283024 3898591 3918448 4653157 4924536 5877672 6036528 7591993 7797182 9306314 9849072 11695773 11755344 13959471 15183986 15594364 18612628 22775979 23391546 27918942 30367972 31188728 37225256 45551958 46783092 55837884 60735944 62377456 74450512 91103916 93566184 111675768 121471888 144247867 182207832 187132368 223351536 288495734 364415664 432743601 576991468 865487202 1153982936 1730974404 2307965872 3461948808 6923897616