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97413512700 = 223527170927143
BaseRepresentation
bin101101010111001001…
…1000011110111111100
3100022102220201011200210
41122232103003313330
53044000324401300
6112430125352420
710015666124130
oct1325623036774
9308386634623
1097413512700
113834942a999
1216a67708710
1392559bb19a
144a017393c0
152802128050
hex16ae4c3dfc

97413512700 has 144 divisors (see below), whose sum is σ = 322314370560. Its totient is φ = 22252097280.

The previous prime is 97413512699. The next prime is 97413512723. The reversal of 97413512700 is 721531479.

It is a super-2 number, since 2×974135127002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3575329 + ... + 3602471.

It is an arithmetic number, because the mean of its divisors is an integer number (2238294240).

Almost surely, 297413512700 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 97413512700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161157185280).

97413512700 is an abundant number, since it is smaller than the sum of its proper divisors (224900857860).

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

97413512700 is a wasteful number, since it uses less digits than its factorization.

97413512700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28876 (or 28869 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 97413512700 in words is "ninety-seven billion, four hundred thirteen million, five hundred twelve thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1709 2100 3418 5127 6836 8545 10254 11963 17090 20508 23926 25635 27143 34180 35889 42725 47852 51270 54286 59815 71778 81429 85450 102540 108572 119630 128175 135715 143556 162858 170900 179445 190001 239260 256350 271430 299075 325716 358890 380002 407145 512700 542860 570003 598150 678575 717780 760004 814290 897225 950005 1140006 1196300 1357150 1628580 1794450 1900010 2035725 2280012 2714300 2850015 3588900 3800020 4071450 4750025 5700030 8142900 9500050 11400060 14250075 19000100 28500150 46387387 57000300 92774774 139162161 185549548 231936935 278324322 324711709 463873870 556648644 649423418 695810805 927747740 974135127 1159684675 1298846836 1391621610 1623558545 1948270254 2319369350 2783243220 3247117090 3479054025 3896540508 4638738700 4870675635 6494234180 6958108050 8117792725 9741351270 13916216100 16235585450 19482702540 24353378175 32471170900 48706756350 97413512700