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5718681216 = 27332957059
BaseRepresentation
bin1010101001101110…
…00010011010000000
3112202112201002212000
411110313002122000
543202440244331
62343243104000
7261466662663
oct52467023200
915675632760
105718681216
112475056926
121137212000
13701a0c051
143c36dd6da
152370b90e6
hex154dc2680

5718681216 has 128 divisors (see below), whose sum is σ = 17460360000. Its totient is φ = 1840462848.

The previous prime is 5718681191. The next prime is 5718681223. The reversal of 5718681216 is 6121868175.

5718681216 is a `hidden beast` number, since 571 + 8 + 68 + 1 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71695 + ... + 128753.

Almost surely, 25718681216 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 5718681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8730180000).

5718681216 is an abundant number, since it is smaller than the sum of its proper divisors (11741678784).

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

5718681216 is a wasteful number, since it uses less digits than its factorization.

5718681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57111 (or 57093 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 5718681216 is about 75621.9625241239. The cubic root of 5718681216 is about 1788.2653540680.

The spelling of 5718681216 in words is "five billion, seven hundred eighteen million, six hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 928 1044 1152 1392 1566 1728 1856 2088 2784 3132 3456 3712 4176 5568 6264 8352 11136 12528 16704 25056 33408 50112 57059 100224 114118 171177 228236 342354 456472 513531 684708 912944 1027062 1369416 1540593 1654711 1825888 2054124 2738832 3081186 3309422 3651776 4108248 4964133 5477664 6162372 6618844 7303552 8216496 9928266 10955328 12324744 13237688 14892399 16432992 19856532 21910656 24649488 26475376 29784798 32865984 39713064 44677197 49298976 52950752 59569596 65731968 79426128 89354394 98597952 105901504 119139192 158852256 178708788 197195904 211803008 238278384 317704512 357417576 476556768 635409024 714835152 953113536 1429670304 1906227072 2859340608 5718681216