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97091774464 = 211597871021
BaseRepresentation
bin101101001101100011…
…1101110100000000000
3100021121111022011210211
41122123013232200000
53042320443240324
6112334153403504
710005011315566
oct1323307564000
9307544264724
1097091774464
11381a3859223
1216997a09594
13920414ba29
1449b0b07a36
1527d3c73294
hex169b1ee800

97091774464 has 96 divisors (see below), whose sum is σ = 197871055200. Its totient is φ = 47615754240.

The previous prime is 97091774401. The next prime is 97091774471. The reversal of 97091774464 is 46447719079.

It is a junction number, because it is equal to n+sod(n) for n = 97091774399 and 97091774408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95094274 + ... + 95095294.

It is an arithmetic number, because the mean of its divisors is an integer number (2061156825).

Almost surely, 297091774464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97091774464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98935527600).

97091774464 is an abundant number, since it is smaller than the sum of its proper divisors (100779280736).

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

97091774464 is a wasteful number, since it uses less digits than its factorization.

97091774464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 58.

The spelling of 97091774464 in words is "ninety-seven billion, ninety-one million, seven hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 787 944 1021 1024 1574 1888 2042 2048 3148 3776 4084 6296 7552 8168 12592 15104 16336 25184 30208 32672 46433 50368 60239 60416 65344 92866 100736 120478 120832 130688 185732 201472 240956 261376 371464 402944 481912 522752 742928 803527 805888 963824 1045504 1485856 1607054 1611776 1927648 2091008 2971712 3214108 3855296 5943424 6428216 7710592 11886848 12856432 15421184 23773696 25712864 30842368 47408093 47547392 51425728 61684736 94816186 95094784 102851456 123369472 189632372 205702912 379264744 411405824 758529488 822811648 1517058976 1645623296 3034117952 6068235904 12136471808 24272943616 48545887232 97091774464