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96830502976 = 269724012
BaseRepresentation
bin101101000101110001…
…1000011100001000000
3100020221021200012201001
41122023203003201000
53041302102043401
6112252221421344
76665356460254
oct1321343034100
9306837605631
1096830502976
113807a327079
121692440a854
139191c90b0c
144988136264
1527bad64601
hex168b8c3840

96830502976 has 63 divisors (see below), whose sum is σ = 194634728967. Its totient is φ = 47796633600.

The previous prime is 96830502973. The next prime is 96830502983. The reversal of 96830502976 is 67920503869.

The square root of 96830502976 is 311176.

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

It can be written as a sum of positive squares in 4 ways, for example, as 34018113600 + 62812389376 = 184440^2 + 250624^2 .

It is a super-2 number, since 2×968305029762 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96830502973) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 241472376 + ... + 241472776.

Almost surely, 296830502976 is an apocalyptic number.

96830502976 is the 311176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96830502976

96830502976 is an abundant number, since it is smaller than the sum of its proper divisors (97804225991).

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

96830502976 is an frugal number, since it uses more digits than its factorization.

96830502976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 96830502976 in words is "ninety-six billion, eight hundred thirty million, five hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 97 194 388 401 776 802 1552 1604 3104 3208 6208 6416 9409 12832 18818 25664 37636 38897 75272 77794 150544 155588 160801 301088 311176 321602 602176 622352 643204 1244704 1286408 2489408 2572816 3773009 5145632 7546018 10291264 15092036 15597697 30184072 31195394 60368144 62390788 120736288 124781576 241472576 249563152 499126304 998252608 1512976609 3025953218 6051906436 12103812872 24207625744 48415251488 96830502976