Search a number
-
+
216400296735 = 33572287100129
BaseRepresentation
bin1100100110001001110…
…1100111101100011111
3202200120022100002012000
43021202131213230133
512021141433443420
6243225105213343
721430413113130
oct3114235475437
9680508302160
10216400296735
1183858364947
1235b34031253
1317538cbba7c
14a68c293c87
15596818b690
hex3262767b1f

216400296735 has 64 divisors (see below), whose sum is σ = 439867084800. Its totient is φ = 98881606656.

The previous prime is 216400296727. The next prime is 216400296737. The reversal of 216400296735 is 537692004612.

216400296735 is a `hidden beast` number, since 216 + 400 + 29 + 6 + 7 + 3 + 5 = 666.

It is not a de Polignac number, because 216400296735 - 23 = 216400296727 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216400296737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2111151 + ... + 2211279.

It is an arithmetic number, because the mean of its divisors is an integer number (6872923200).

Almost surely, 2216400296735 is an apocalyptic number.

216400296735 is an abundant number, since it is smaller than the sum of its proper divisors (223466788065).

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

216400296735 is a wasteful number, since it uses less digits than its factorization.

216400296735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102437 (or 102431 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 216400296735 in words is "two hundred sixteen billion, four hundred million, two hundred ninety-six thousand, seven hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 2287 6861 11435 16009 20583 34305 48027 61749 80045 100129 102915 144081 240135 300387 308745 432243 500645 700903 720405 901161 1501935 2102709 2161215 2703483 3504515 4505805 6308127 10513545 13517415 18924381 31540635 94621905 228995023 686985069 1144975115 1602965161 2060955207 3434925345 4808895483 6182865621 8014825805 10304776035 14426686449 24044477415 30914328105 43280059347 72133432245 216400296735