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214150519696 = 2419260892
BaseRepresentation
bin1100011101110001011…
…1011001101110010000
3202110202111222120021111
43013130113121232100
512002040013112241
6242213540503104
721320564245321
oct3073427315620
9673674876244
10214150519696
1182903427083
12356066aaa94
131726ab7c659
14a51757a448
1558858dac81
hex31dc5d9b90

214150519696 has 45 divisors (see below), whose sum is σ = 437975631921. Its totient is φ = 101423060352.

The previous prime is 214150519663. The next prime is 214150519747. The reversal of 214150519696 is 696915051412.

The square root of 214150519696 is 462764.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 48208350096 + 165942169600 = 219564^2 + 407360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35167020 + ... + 35173108.

Almost surely, 2214150519696 is an apocalyptic number.

214150519696 is the 462764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214150519696

214150519696 is an abundant number, since it is smaller than the sum of its proper divisors (223825112225).

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

214150519696 is an frugal number, since it uses more digits than its factorization.

214150519696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12224 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 49.

Multiplying 214150519696 by its sum of digits (49), we get a square (10493375465104 = 32393482).

The spelling of 214150519696 in words is "two hundred fourteen billion, one hundred fifty million, five hundred nineteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 6089 12178 24356 48712 97424 115691 231382 462764 925528 1851056 2198129 4396258 8792516 17585032 35170064 37075921 74151842 148303684 296607368 593214736 704442499 1408884998 2817769996 5635539992 11271079984 13384407481 26768814962 53537629924 107075259848 214150519696