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97368012540 = 2232513726315013
BaseRepresentation
bin101101010101110010…
…1011111011011111100
3100022022202002112012200
41122223211133123330
53043402202400130
6112421422231500
710014604310451
oct1325345373374
9308282075180
1097368012540
1138325782a57
1216a54425590
13924944a006
1449d9693828
1527ed13b760
hex16ab95f6fc

97368012540 has 144 divisors (see below), whose sum is σ = 298656566208. Its totient is φ = 25675564032.

The previous prime is 97368012529. The next prime is 97368012563. The reversal of 97368012540 is 4521086379.

97368012540 is a `hidden beast` number, since 97 + 3 + 6 + 8 + 0 + 12 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6478074 + ... + 6493086.

It is an arithmetic number, because the mean of its divisors is an integer number (2074003932).

It is a 2-persistent number, because it is pandigital, and so is 2⋅97368012540 = 194736025080, but 3⋅97368012540 = 292104037620 is not.

Almost surely, 297368012540 is an apocalyptic number.

97368012540 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97368012540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149328283104).

97368012540 is an abundant number, since it is smaller than the sum of its proper divisors (201288553668).

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

97368012540 is a wasteful number, since it uses less digits than its factorization.

97368012540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15428 (or 15423 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 97368012540 in words is "ninety-seven billion, three hundred sixty-eight million, twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 263 274 411 526 548 685 789 822 1052 1233 1315 1370 1578 1644 2055 2367 2466 2630 2740 3156 3945 4110 4734 4932 5260 6165 7890 8220 9468 11835 12330 15013 15780 23670 24660 30026 36031 45039 47340 60052 72062 75065 90078 108093 135117 144124 150130 180155 180156 216186 225195 270234 300260 324279 360310 432372 450390 540465 540468 648558 675585 720620 900780 1080930 1297116 1351170 1621395 2056781 2161860 2702340 3242790 3948419 4113562 6170343 6485580 7896838 8227124 10283905 11845257 12340686 15793676 18511029 19742095 20567810 23690514 24681372 30851715 35535771 37022058 39484190 41135620 47381028 59226285 61703430 71071542 74044116 78968380 92555145 118452570 123406860 142143084 177678855 185110290 236905140 355357710 370220580 540933403 710715420 1081866806 1622800209 2163733612 2704667015 3245600418 4868400627 5409334030 6491200836 8114001045 9736801254 10818668060 16228002090 19473602508 24342003135 32456004180 48684006270 97368012540