Search a number
-
+
7198411896 = 23331319134923
BaseRepresentation
bin1101011010000111…
…10000110001111000
3200120200002012202000
412231003300301320
5104220243140041
63150142541000
7343245330414
oct65503606170
920520065660
107198411896
113064352445
12148a897760
138a9455430
144c4047d44
152c1e5cbb6
hex1ad0f0c78

7198411896 has 128 divisors (see below), whose sum is σ = 22667232000. Its totient is φ = 2098306944.

The previous prime is 7198411859. The next prime is 7198411897. The reversal of 7198411896 is 6981148917.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7198411897) 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, 14110 + ... + 120813.

It is an arithmetic number, because the mean of its divisors is an integer number (177087750).

Almost surely, 27198411896 is an apocalyptic number.

7198411896 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 7198411896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11333616000).

7198411896 is an abundant number, since it is smaller than the sum of its proper divisors (15468820104).

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

7198411896 is a wasteful number, since it uses less digits than its factorization.

7198411896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134970 (or 134960 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The square root of 7198411896 is about 84843.4552337421. The cubic root of 7198411896 is about 1930.8367867760.

The spelling of 7198411896 in words is "seven billion, one hundred ninety-eight million, four hundred eleven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1368 1404 1482 1976 2052 2223 2808 2964 4104 4446 5928 6669 8892 13338 17784 26676 53352 134923 269846 404769 539692 809538 1079384 1214307 1619076 1753999 2428614 2563537 3238152 3507998 3642921 4857228 5127074 5261997 7015996 7285842 7690611 9714456 10254148 10523994 14031992 14571684 15381222 15785991 20508296 21047988 23071833 29143368 30762444 31571982 33325981 42095976 46143666 47357973 61524888 63143964 66651962 69215499 92287332 94715946 99977943 126287928 133303924 138430998 184574664 189431892 199955886 266607848 276861996 299933829 378863784 399911772 553723992 599867658 799823544 899801487 1199735316 1799602974 2399470632 3599205948 7198411896