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18970358949216 = 253419121382763
BaseRepresentation
bin1000101000000111000011…
…00000011010010101100000
32111011112210221011200120000
410110003201200122111200
54441302243342333331
6104202510153020000
73665364115343103
oct424034140322540
974145727150500
1018970358949216
116054314085a64
1221646ba9b4600
13a77b881207bc
1449825532673a
1522d6e129b0e6
hex1140e181a560

18970358949216 has 120 divisors (see below), whose sum is σ = 55794362284584. Its totient is φ = 6323105756160.

The previous prime is 18970358949127. The next prime is 18970358949257. The reversal of 18970358949216 is 61294985307981.

18970358949216 is a `hidden beast` number, since 1 + 8 + 9 + 70 + 3 + 58 + 9 + 492 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49370251 + ... + 49753013.

It is a 1-persistent number, because it is pandigital, but 2⋅18970358949216 = 37940717898432 is not.

Almost surely, 218970358949216 is an apocalyptic number.

18970358949216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18970358949216 is an abundant number, since it is smaller than the sum of its proper divisors (36824003335368).

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

18970358949216 is a wasteful number, since it uses less digits than its factorization.

18970358949216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401906 (or 401889 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 18970358949216 in words is "eighteen trillion, nine hundred seventy billion, three hundred fifty-eight million, nine hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 19121 38242 57363 76484 114726 152968 172089 229452 305936 344178 382763 458904 516267 611872 688356 765526 917808 1032534 1148289 1376712 1531052 1548801 1835616 2065068 2296578 2753424 3062104 3097602 3444867 4130136 4593156 5506848 6124208 6195204 6889734 8260272 9186312 10334601 12248416 12390408 13779468 16520544 18372624 20669202 24780816 27558936 31003803 36745248 41338404 49561632 55117872 62007606 82676808 110235744 124015212 165353616 248030424 330707232 496060848 992121696 7318811323 14637622646 21956433969 29275245292 43912867938 58550490584 65869301907 87825735876 117100981168 131738603814 175651471752 197607905721 234201962336 263477207628 351302943504 395215811442 526954415256 592823717163 702605887008 790431622884 1053908830512 1185647434326 1580863245768 2107817661024 2371294868652 3161726491536 4742589737304 6323452983072 9485179474608 18970358949216