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97809280440 = 23354723937247
BaseRepresentation
bin101101100010111100…
…0110010110110111000
3100100110111102020222020
41123011320302312320
53100303133433230
6112533304154440
710031543111004
oct1330570626670
9310414366866
1097809280440
1138531875073
1216b58168a20
1392b99aa291
144a3c11b704
152826c52810
hex16c5e32db8

97809280440 has 128 divisors (see below), whose sum is σ = 299837583360. Its totient is φ = 25513339904.

The previous prime is 97809280433. The next prime is 97809280451. The reversal of 97809280440 is 4408290879.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13492897 + ... + 13500143.

It is an arithmetic number, because the mean of its divisors is an integer number (2342481120).

Almost surely, 297809280440 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 97809280440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149918791680).

97809280440 is an abundant number, since it is smaller than the sum of its proper divisors (202028302920).

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

97809280440 is a wasteful number, since it uses less digits than its factorization.

97809280440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9701 (or 9697 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 97809280440 in words is "ninety-seven billion, eight hundred nine million, two hundred eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2393 2820 4786 5640 7179 7247 9572 11965 14358 14494 19144 21741 23930 28716 28988 35895 36235 43482 47860 57432 57976 71790 72470 86964 95720 108705 112471 143580 144940 173928 217410 224942 287160 289880 337413 340609 434820 449884 562355 674826 681218 869640 899768 1021827 1124710 1349652 1362436 1687065 1703045 2043654 2249420 2699304 2724872 3374130 3406090 4087308 4498840 5109135 6748260 6812180 8174616 10218270 13496520 13624360 17342071 20436540 34684142 40873080 52026213 69368284 86710355 104052426 138736568 173420710 208104852 260131065 346841420 416209704 520262130 693682840 815077337 1040524260 1630154674 2081048520 2445232011 3260309348 4075386685 4890464022 6520618696 8150773370 9780928044 12226160055 16301546740 19561856088 24452320110 32603093480 48904640220 97809280440