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97028659968 = 283257491593
BaseRepresentation
bin101101001011101011…
…0111101101100000000
3100021110002112121222220
41122113112331230000
53042203314104333
6112324020531040
710003314000402
oct1322726755400
9307402477886
1097028659968
1138171170389
121697a850a80
1391c4051286
1449a6598b72
1527cd4578b3
hex16975bdb00

97028659968 has 72 divisors (see below), whose sum is σ = 259243079088. Its totient is φ = 32216973312.

The previous prime is 97028659951. The next prime is 97028659991. The reversal of 97028659968 is 86995682079.

It is a super-3 number, since 3×970286599683 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48421 + ... + 443172.

Almost surely, 297028659968 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 97028659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129621539544).

97028659968 is an abundant number, since it is smaller than the sum of its proper divisors (162214419120).

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

97028659968 is a wasteful number, since it uses less digits than its factorization.

97028659968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491869 (or 491855 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 69.

The spelling of 97028659968 in words is "ninety-seven billion, twenty-eight million, six hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 257 384 514 768 771 1028 1542 2056 3084 4112 6168 8224 12336 16448 24672 32896 49344 65792 98688 197376 491593 983186 1474779 1966372 2949558 3932744 5899116 7865488 11798232 15730976 23596464 31461952 47192928 62923904 94385856 125847808 126339401 188771712 252678802 377543424 379018203 505357604 758036406 1010715208 1516072812 2021430416 3032145624 4042860832 6064291248 8085721664 12128582496 16171443328 24257164992 32342886656 48514329984 97028659968