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216148139997072 = 243172397118730357
BaseRepresentation
bin110001001001010111101001…
…000110100111011110010000
31001100022120010111221102211020
4301021113221012213132100
5211312332342314401242
62043413030143515440
763346121256461433
oct6111275106473620
91040276114842736
10216148139997072
1162964a03070168
12202aab5a8b8b80
13937b8b388819a
143b538a927b81a
1519ec7985dc6ec
hexc495e91a7790

216148139997072 has 160 divisors (see below), whose sum is σ = 623294486099712. Its totient is φ = 64194179039232.

The previous prime is 216148139997061. The next prime is 216148139997103. The reversal of 216148139997072 is 270799931841612.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 216148139996988 and 216148139997006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57544683 + ... + 61185674.

Almost surely, 2216148139997072 is an apocalyptic number.

It is an amenable number.

216148139997072 is an abundant number, since it is smaller than the sum of its proper divisors (407146346102640).

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

216148139997072 is a wasteful number, since it uses less digits than its factorization.

216148139997072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118730505 (or 118730499 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 69.

The spelling of 216148139997072 in words is "two hundred sixteen trillion, one hundred forty-eight billion, one hundred thirty-nine million, nine hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 97 102 136 138 184 194 204 272 276 291 368 388 391 408 552 582 776 782 816 1104 1164 1173 1552 1564 1649 2231 2328 2346 3128 3298 4462 4656 4692 4947 6256 6596 6693 8924 9384 9894 13192 13386 17848 18768 19788 26384 26772 35696 37927 39576 53544 75854 79152 107088 113781 151708 227562 303416 455124 606832 910248 1820496 118730357 237460714 356191071 474921428 712382142 949842856 1424764284 1899685712 2018416069 2730798211 2849528568 4036832138 5461596422 5699057136 6055248207 8073664276 8192394633 10923192844 11516844629 12110496414 16147328552 16384789266 21846385688 23033689258 24220992828 32294657104 32769578532 34550533887 43692771376 46067378516 46423569587 48441985656 65539157064 69101067774 92134757032 92847139174 96883971312 131078314128 138202135548 139270708761 184269514064 185694278348 195786358693 264887426467 276404271096 278541417522 371388556696 391572717386 529774852934 552808542192 557082835044 587359076079 742777113392 783145434772 794662279401 1059549705868 1114165670088 1174718152158 1566290869544 1589324558802 2119099411736 2228331340176 2349436304316 3132581739088 3178649117604 4238198823472 4503086249939 4698872608632 6357298235208 9006172499878 9397745217264 12714596470416 13509258749817 18012344999756 27018517499634 36024689999512 54037034999268 72049379999024 108074069998536 216148139997072