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97068075456 = 2631145960263
BaseRepresentation
bin101101001100110110…
…1010100100111000000
3100021112211201010212210
41122121231110213000
53042243411403311
6112331545422120
710004303012352
oct1323155244700
9307484633783
1097068075456
1138191441870
121698ba9a940
1391cc271a51
1449ab8d90d2
1527d1b413a6
hex1699b549c0

97068075456 has 56 divisors (see below), whose sum is σ = 280173769344. Its totient is φ = 29414567680.

The previous prime is 97068075451. The next prime is 97068075469. The reversal of 97068075456 is 65457086079.

It is a super-2 number, since 2×970680754562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97068075396 and 97068075405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97068075451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22978020 + ... + 22982243.

It is an arithmetic number, because the mean of its divisors is an integer number (5003103024).

Almost surely, 297068075456 is an apocalyptic number.

97068075456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

97068075456 is an abundant number, since it is smaller than the sum of its proper divisors (183105693888).

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

97068075456 is a wasteful number, since it uses less digits than its factorization.

97068075456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45960289 (or 45960279 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 97068075456 in words is "ninety-seven billion, sixty-eight million, seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 45960263 91920526 137880789 183841052 275761578 367682104 505562893 551523156 735364208 1011125786 1103046312 1470728416 1516688679 2022251572 2206092624 2941456832 3033377358 4044503144 4412185248 6066754716 8089006288 8824370496 12133509432 16178012576 24267018864 32356025152 48534037728 97068075456