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97478830656 = 2632130092
BaseRepresentation
bin101101011001000110…
…0001110101001000000
3100022121110121200002100
41122302030032221000
53044114040040111
6112440421350400
710020421250364
oct1326214165100
9308543550070
1097478830656
1138382293279
1216a85568400
1392663aa86c
144a0a29d2a4
152807c2b756
hex16b230ea40

97478830656 has 63 divisors (see below), whose sum is σ = 279426947241. Its totient is φ = 32490445824.

The previous prime is 97478830633. The next prime is 97478830661. The reversal of 97478830656 is 65603887479.

The square root of 97478830656 is 312216.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19436821056 + 78042009600 = 139416^2 + 279360^2 .

It is a super-2 number, since 2×974788306562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97478830593 and 97478830602.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7486680 + ... + 7499688.

Almost surely, 297478830656 is an apocalyptic number.

97478830656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

97478830656 is the 312216-th square number.

It is an amenable number.

97478830656 is an abundant number, since it is smaller than the sum of its proper divisors (181948116585).

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

97478830656 is an frugal number, since it uses more digits than its factorization.

97478830656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26036 (or 13014 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 97478830656 in words is "ninety-seven billion, four hundred seventy-eight million, eight hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 13009 26018 39027 52036 78054 104072 117081 156108 208144 234162 312216 416288 468324 624432 832576 936648 1248864 1873296 2497728 3746592 7493184 169234081 338468162 507702243 676936324 1015404486 1353872648 1523106729 2030808972 2707745296 3046213458 4061617944 5415490592 6092426916 8123235888 10830981184 12184853832 16246471776 24369707664 32492943552 48739415328 97478830656