Search a number
-
+
7919106216 = 2337198392957
BaseRepresentation
bin1110110000000001…
…11111100010101000
3202102220012021111020
413120000333202220
5112204242344331
63345445532440
7400146202140
oct73000774250
922386167436
107919106216
1133a414678a
121650114120
1399285bc88
14551a4b920
1531536bc96
hex1d803f8a8

7919106216 has 128 divisors (see below), whose sum is σ = 23853312000. Its totient is φ = 2140238592.

The previous prime is 7919106179. The next prime is 7919106323. The reversal of 7919106216 is 6126019197.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2676610 + ... + 2679566.

It is an arithmetic number, because the mean of its divisors is an integer number (186354000).

Almost surely, 27919106216 is an apocalyptic number.

7919106216 is a gapful number since it is divisible by the number (76) 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 7919106216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11926656000).

7919106216 is an abundant number, since it is smaller than the sum of its proper divisors (15934205784).

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

7919106216 is a wasteful number, since it uses less digits than its factorization.

7919106216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 7919106216 is about 88989.3601280513. The cubic root of 7919106216 is about 1993.2360012827.

The spelling of 7919106216 in words is "seven billion, nine hundred nineteen million, one hundred six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 839 1064 1596 1678 2517 2957 3192 3356 5034 5873 5914 6712 8871 10068 11746 11828 15941 17619 17742 20136 20699 23492 23656 31882 35238 35484 41398 46984 47823 56183 62097 63764 70476 70968 82796 95646 111587 112366 124194 127528 140952 165592 168549 191292 223174 224732 248388 334761 337098 382584 393281 446348 449464 496776 669522 674196 786562 892696 1179843 1339044 1348392 1573124 2359686 2480923 2678088 3146248 4719372 4961846 7442769 9438744 9923692 14885538 17366461 19847384 29771076 34732922 47137537 52099383 59542152 69465844 94275074 104198766 138931688 141412611 188550148 208397532 282825222 329962759 377100296 416795064 565650444 659925518 989888277 1131300888 1319851036 1979776554 2639702072 3959553108 7919106216