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94513870480 = 245171811971949
BaseRepresentation
bin101100000000101110…
…1110011011010010000
3100000221211112002100111
41120001131303122100
53022031022323410
6111230304131104
76554066433541
oct1300135633220
9300854462314
1094513870480
11370a0685867
1216398606a94
138bb3044263
1448085b84c8
1526d27a9b8a
hex1601773690

94513870480 has 160 divisors (see below), whose sum is σ = 235264629600. Its totient is φ = 35187425280.

The previous prime is 94513870459. The next prime is 94513870513. The reversal of 94513870480 is 8407831549.

It can be written as a sum of positive squares in 16 ways, for example, as 2719413904 + 91794456576 = 52148^2 + 302976^2 .

It is a super-2 number, since 2×945138704802 (a number of 23 digits) contains 22 as substring.

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, 48492546 + ... + 48494494.

It is an arithmetic number, because the mean of its divisors is an integer number (1470403935).

Almost surely, 294513870480 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 94513870480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117632314800).

94513870480 is an abundant number, since it is smaller than the sum of its proper divisors (140750759120).

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

94513870480 is a wasteful number, since it uses less digits than its factorization.

94513870480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 94513870480 in words is "ninety-four billion, five hundred thirteen million, eight hundred seventy thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 181 197 272 340 362 394 680 724 788 905 985 1360 1448 1576 1810 1949 1970 2896 3077 3152 3349 3620 3898 3940 6154 6698 7240 7796 7880 9745 12308 13396 14480 15385 15592 15760 16745 19490 24616 26792 30770 31184 33133 33490 35657 38980 49232 53584 61540 66266 66980 71314 77960 123080 132532 133960 142628 155920 165665 178285 246160 265064 267920 285256 331330 352769 356570 383953 530128 570512 606169 662660 705538 713140 767906 1212338 1325320 1411076 1426280 1535812 1763845 1919765 2424676 2650640 2822152 2852560 3030845 3071624 3527690 3839530 4849352 5644304 5997073 6061690 6143248 6527201 7055380 7679060 9698704 11994146 12123380 13054402 14110760 15358120 23988292 24246760 26108804 28221520 29985365 30716240 32636005 47976584 48493520 52217608 59970730 65272010 69495493 95953168 104435216 119941460 130544020 138990986 239882920 261088040 277981972 347477465 479765840 522176080 555963944 694954930 1111927888 1181423381 1389909860 2362846762 2779819720 4725693524 5559639440 5907116905 9451387048 11814233810 18902774096 23628467620 47256935240 94513870480