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97503316480 = 295137317877
BaseRepresentation
bin101101011001110100…
…1101000101000000000
3100022200011200200022201
41122303221220220000
53044141322111410
6112443054242544
710021136341543
oct1326351505000
9308604620281
1097503316480
1138395097899
1216a917b6454
13926b4a1a0b
144a0d63485a
152809e6683a
hex16b3a68a00

97503316480 has 160 divisors (see below), whose sum is σ = 236498072976. Its totient is φ = 38550503424.

The previous prime is 97503316399. The next prime is 97503316487. The reversal of 97503316480 is 8461330579.

It can be written as a sum of positive squares in 8 ways, for example, as 37959508224 + 59543808256 = 194832^2 + 244016^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 97503316480.

It is not an unprimeable number, because it can be changed into a prime (97503316487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111177802 + ... + 111178678.

Almost surely, 297503316480 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 97503316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118249036488).

97503316480 is an abundant number, since it is smaller than the sum of its proper divisors (138994756496).

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

97503316480 is a wasteful number, since it uses less digits than its factorization.

97503316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 97503316480 in words is "ninety-seven billion, five hundred three million, three hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 137 160 256 274 317 320 512 548 634 640 685 877 1096 1268 1280 1370 1585 1754 2192 2536 2560 2740 3170 3508 4384 4385 5072 5480 6340 7016 8768 8770 10144 10960 12680 14032 17536 17540 20288 21920 25360 28064 35072 35080 40576 43429 43840 50720 56128 70144 70160 81152 86858 87680 101440 112256 120149 140320 162304 173716 175360 202880 217145 224512 240298 278009 280640 347432 350720 405760 434290 449024 480596 556018 561280 600745 694864 811520 868580 961192 1112036 1122560 1201490 1389728 1390045 1737160 1922384 2224072 2245120 2402980 2779456 2780090 3474320 3844768 4448144 4805960 5558912 5560180 6948640 7689536 8896288 9611920 11117824 11120360 13897280 15379072 17792576 19223840 22235648 22240720 27794560 30758144 35585152 38087233 38447680 44481440 55589120 61516288 71170304 76174466 76895360 88962880 111178240 142340608 152348932 153790720 177925760 190436165 304697864 307581440 355851520 380872330 609395728 711703040 761744660 1218791456 1523489320 2437582912 3046978640 4875165824 6093957280 9750331648 12187914560 19500663296 24375829120 48751658240 97503316480