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215488808001348 = 223744339171478387
BaseRepresentation
bin110000111111110001100101…
…110110101001111101000100
31001020222112021112110201011220
4300333301211312221331010
5211221032034322020343
62042150105231000340
763250360355130150
oct6077614566517504
91036875245421156
10215488808001348
1162730321376062
12202032119690b0
1393316799b96cb
143b2d9dd150060
1519da5599be183
hexc3fc65da9f44

215488808001348 has 96 divisors (see below), whose sum is σ = 576081394043904. Its totient is φ = 61413526382208.

The previous prime is 215488808001331. The next prime is 215488808001349. The reversal of 215488808001348 is 843100808884512.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 215488808001291 and 215488808001300.

It is not an unprimeable number, because it can be changed into a prime (215488808001349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145020211 + ... + 146498597.

It is an arithmetic number, because the mean of its divisors is an integer number (6000847854624).

Almost surely, 2215488808001348 is an apocalyptic number.

215488808001348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

215488808001348 is an abundant number, since it is smaller than the sum of its proper divisors (360592586042556).

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

215488808001348 is a wasteful number, since it uses less digits than its factorization.

215488808001348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482761 (or 1482759 counting only the distinct ones).

The product of its (nonzero) digits is 15728640, while the sum is 60.

The spelling of 215488808001348 in words is "two hundred fifteen trillion, four hundred eighty-eight billion, eight hundred eight million, one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 443 886 1329 1772 2658 3101 3917 5316 6202 7834 9303 11751 12404 15668 18606 23502 27419 37212 47004 54838 82257 109676 164514 329028 1478387 1735231 2956774 3470462 4435161 5205693 5913548 6940924 8870322 10348709 10411386 12146617 17740644 20697418 20822772 24293234 31046127 36439851 41394836 48586468 62092254 72879702 124184508 145759404 654925441 1309850882 1964776323 2619701764 3929552646 4584478087 5790841879 7859105292 9168956174 11581683758 13753434261 17372525637 18337912348 23163367516 27506868522 34745051274 40535893153 55013737044 69490102548 81071786306 121607679459 162143572612 243215358918 486430717836 2565342952397 5130685904794 7696028857191 10261371809588 15392057714382 17957400666779 30784115428764 35914801333558 53872202000337 71829602667116 107744404000674 215488808001348