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96917258240 = 2195113361
BaseRepresentation
bin101101001000010111…
…0000000000000000000
3100021011022220211112222
41122100232000000000
53041441304230430
6112305001110212
710000462050125
oct1322056000000
9307138824488
1096917258240
11381142a1640
1216949488368
1391a6c47baa
14499587a74c
1527c379e9e5
hex1690b80000

96917258240 has 160 divisors (see below), whose sum is σ = 253822258800. Its totient is φ = 35232153600.

The previous prime is 96917258233. The next prime is 96917258257. The reversal of 96917258240 is 4285271969.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 28834160 + ... + 28837520.

Almost surely, 296917258240 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 96917258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126911129400).

96917258240 is an abundant number, since it is smaller than the sum of its proper divisors (156905000560).

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

96917258240 is an frugal number, since it uses more digits than its factorization.

96917258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 96917258240 in words is "ninety-six billion, nine hundred seventeen million, two hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3361 3520 4096 5120 5632 6722 7040 8192 10240 11264 13444 14080 16384 16805 20480 22528 26888 28160 32768 33610 36971 40960 45056 53776 56320 65536 67220 73942 81920 90112 107552 112640 131072 134440 147884 163840 180224 184855 215104 225280 262144 268880 295768 327680 360448 369710 430208 450560 524288 537760 591536 655360 720896 739420 860416 901120 1075520 1183072 1310720 1441792 1478840 1720832 1802240 2151040 2366144 2621440 2883584 2957680 3441664 3604480 4302080 4732288 5767168 5915360 6883328 7208960 8604160 9464576 11830720 13766656 14417920 17208320 18929152 23661440 27533312 28835840 34416640 37858304 47322880 55066624 68833280 75716608 94645760 110133248 137666560 151433216 189291520 220266496 275333120 302866432 378583040 440532992 550666240 605732864 757166080 881065984 1101332480 1211465728 1514332160 1762131968 2202664960 2422931456 3028664320 4405329920 4845862912 6057328640 8810659840 9691725824 12114657280 19383451648 24229314560 48458629120 96917258240