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97445250960 = 243510719119867
BaseRepresentation
bin101101011000000110…
…0001000011110010000
3100022112010102122101220
41122300030020132100
53044031441012320
6112433221525040
710016532652401
oct1326014103620
9308463378356
1097445250960
1138365338362
1216a76273780
13925c451415
144a05a3b9a8
152804ce6e40
hex16b0308790

97445250960 has 160 divisors (see below), whose sum is σ = 306515238912. Its totient is φ = 25606479360.

The previous prime is 97445250949. The next prime is 97445250971. The reversal of 97445250960 is 6905254479.

97445250960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (97445250949) and next prime (97445250971).

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, 4894947 + ... + 4914813.

Almost surely, 297445250960 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 97445250960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153257619456).

97445250960 is an abundant number, since it is smaller than the sum of its proper divisors (209069987952).

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

97445250960 is a wasteful number, since it uses less digits than its factorization.

97445250960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20181 (or 20175 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 97445250960 in words is "ninety-seven billion, four hundred forty-five million, two hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 191 214 240 321 382 428 535 573 642 764 856 955 1070 1146 1284 1528 1605 1712 1910 2140 2292 2568 2865 3056 3210 3820 4280 4584 5136 5730 6420 7640 8560 9168 11460 12840 15280 19867 20437 22920 25680 39734 40874 45840 59601 61311 79468 81748 99335 102185 119202 122622 158936 163496 198670 204370 238404 245244 298005 306555 317872 326992 397340 408740 476808 490488 596010 613110 794680 817480 953616 980976 1192020 1226220 1589360 1634960 2125769 2384040 2452440 3794597 4251538 4768080 4904880 6377307 7589194 8503076 10628845 11383791 12754614 15178388 17006152 18972985 21257690 22767582 25509228 30356776 31886535 34012304 37945970 42515380 45535164 51018456 56918955 60713552 63773070 75891940 85030760 91070328 102036912 113837910 127546140 151783880 170061520 182140656 227675820 255092280 303567760 406021879 455351640 510184560 812043758 910703280 1218065637 1624087516 2030109395 2436131274 3248175032 4060218790 4872262548 6090328185 6496350064 8120437580 9744525096 12180656370 16240875160 19489050192 24361312740 32481750320 48722625480 97445250960