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97022898400 = 2552738871873
BaseRepresentation
bin101101001011100000…
…0111111000011100000
3100021102200200220121111
41122113000333003200
53042200330222100
6112323253233104
710003214013001
oct1322700770340
9307380626544
1097022898400
113816899565a
1216978932794
1391c2ab496c
1449a58d91a8
1527ccbba6ba
hex169703f0e0

97022898400 has 144 divisors (see below), whose sum is σ = 240500794464. Its totient is φ = 38213959680.

The previous prime is 97022898383. The next prime is 97022898419. The reversal of 97022898400 is 489822079.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51799864 + ... + 51801736.

It is an arithmetic number, because the mean of its divisors is an integer number (1670144406).

Almost surely, 297022898400 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 97022898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120250397232).

97022898400 is an abundant number, since it is smaller than the sum of its proper divisors (143477896064).

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

97022898400 is a wasteful number, since it uses less digits than its factorization.

97022898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 97022898400 in words is "ninety-seven billion, twenty-two million, eight hundred ninety-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 146 160 200 292 365 400 584 730 800 887 1168 1460 1774 1825 1873 2336 2920 3548 3650 3746 4435 5840 7096 7300 7492 8870 9365 11680 14192 14600 14984 17740 18730 22175 28384 29200 29968 35480 37460 44350 46825 58400 59936 64751 70960 74920 88700 93650 129502 136729 141920 149840 177400 187300 259004 273458 299680 323755 354800 374600 518008 546916 647510 683645 709600 749200 1036016 1093832 1295020 1367290 1498400 1618775 1661351 2072032 2187664 2590040 2734580 3237550 3322702 3418225 4375328 5180080 5469160 6475100 6645404 6836450 8306755 10360160 10938320 12950200 13290808 13672900 16613510 21876640 25900400 26581616 27345800 33227020 41533775 51800800 53163232 54691600 66454040 83067550 109383200 121278623 132908080 166135100 242557246 265816160 332270200 485114492 606393115 664540400 970228984 1212786230 1329080800 1940457968 2425572460 3031965575 3880915936 4851144920 6063931150 9702289840 12127862300 19404579680 24255724600 48511449200 97022898400